RECORD RENT

Donald Trump is asking for a new record rent of $200,000 a month for one of his unsold Park Avenue penthouses.

The 10-room duplex condominium at Trump Park Avenue, which is also for sale at $45 million, includes three bedrooms, 6½ baths, huge terraces, high ceilings, a grand staircase, and panoramic views of Manhattan and beyond.

“It can’t be trumped,” exclaimed Brown Harris Stevens listing broker Kathy Sloane. “It really is the most impressive residence on Park Avenue.”

Located atop the former Delmonico Hotel, the gut-renovated 6,200-square-foot apartment features two roof terraces with views of the city and Central Park, a large master suite with separate baths and dressing rooms, a third smaller terrace, a library, a den, prewar details, chandeliers, four exposures and more than 50 windows. There is also a 45-foot-long living/dining room with a 16-foot ceiling.

Building residents, who include Alex Rodriguez, Ivanka Trump and Donny Deutsch, have full hotel services, valet parking and a health club at their disposal.

Marty’s millions

Speaking of broker Kathy Sloane, after chatting with her yesterday, we discovered on our own that her listing for Oscar-winning producer Marty Richards’ apartment went to contract.

We’re told it’s selling for somewhere just below its $22.7 million asking price.

The buyer of the “Chicago” producer’s 14-room co-op duplex at stately River House, located on the East River at 435 E. 52nd St., is said to be fashion-show mogul Elyse Kroll.

The ornate four-bedroom, 5½-bath apartment has two sitting rooms, four fireplaces, a state-of-the-art audio/visual system, a library, two powder rooms, a wet bar and river-fronting bay windows in every major room.

Believe it or not, Kroll is actually downsizing with this purchase. She’s still trying to sell her huge, 23-room townhouse with two elevators on Sutton Square for $29.75 million.

Heli, yeah!

No matter how much money you spend for a Hamptons property, there’s one amenity that’s simply not available, or legal: a private FAA-approved heliport.

So if you want to park a whirlybird legally in your own oceanfront back yard, one listing in Newport, RI, is offering that exact perk. The home is also one of the most beautiful estates in the Northeast.

Known as Hopedene, the spread, which is listed at $22.5 million, sits on famed Cliff Walk with 6 manicured acres and a total of 15 bedrooms and 13 bathrooms in its sumptuously renovated, circa-1902 Georgian Revival-style main and carriage houses. The estate also includes an oceanfront pool and spa, a tennis court and gated entrances.

The owners are Palm Beach socialites Craig Millard (the retired chairman of Prudential Preferred Properties who sold his company in 1999) and his wife, Michele.

Included in the sprawling main residence are six en-suite bedrooms with marble fireplaces, four children’s bedrooms, a library with paneled walls and gilt accents, a ballroom-size dining room, an “anteroom” with fireplace, two salons, a sunroom, an elevator and a generator system.

There are only four FAA-approved private heliports in Newport; the others are at the nearby Doris Duke estate; Malbone Castle, the 17-acre estate where George Washington supposedly dined; and a condo development.

Melanie Delman of Lila Delman Real Estate has the listing.