I saw this when it came out. Although I was only around 7 or 8 years old, I found it a very funny movie. I expect that I didn't understand most of the jokes, but the situation and the constant frenetic action, characters coming and going, must have impressed me. I found Eve Arden's character particularly funny. Firing a rifle salute from a swanky hotel balcony...wow!
Looking at it now, it is clear that it was originally a stage play-characters coming and going on one set. Machine-gun rapid quips, jokes, reactions...if one joke doesn't get you, the next one will. Jane Wyman's dumb Dora character was a stock comedy character in those days (Gracie Allen). It might have been demeaning for her to play, but it made her a star before her later weepies.
The Washington no rooms to rent situation is long forgotten. Absurdist humor has gone out of fashion, perhaps because our society has become so absurd that absurdity is no longer funny. Thus, a lot of the humor of this film and its satire don't register today. Yet, it was quite good for its time, and it is still a hoot to watch today.