Silent Generation Adult Comedy 78!
Though I'm sure it was in small, limited releases however way they got it out back in those days. A lot of recordings like these often went unnamed for years as well. Such recordings were often shared by recording engineers and colleagues as well. I'm sure a radio station at the time wouldn't be caught dead playing such a track without the FCC immediately getting on their ass. I see this recording got a 45rpm release in 1974 according to Dislogs, that record is probably worth a lot nowadays.
Even back in the 50s they made nasty songs for fun and some managed to get to the public.