Hearts and Glowers (1960)

For the first time ever, Howard has all his rooms rented out. Just as he's hanging up a "No Vacancy" sign, along comes a millionaire needing a room. Howard seats him in the lobby while he goes upstairs and tries to get one of his renters who is a bookworm to move in with a lonely sex siren so that he can have one of their rooms. When he gets the bookworm's nose out of his book, love blossoms.

Unfortunately the movie Hearts and Glowers is not yet available on HBO Max.