Peter Bergman, a founding member of the surrealist comedy troupe Firesign Theater, whose albums became cult favorites among college students in the late 1960s and ’70s for a brand of sly, multilayered satire so dense it seemed riddled with non sequiturs until the second, third or 30th listening, died on Friday in Santa Monica, Calif. He was 72.

The cause was complications of leukemia, said Jeff Abraham, a spokesman for the group.

Mr. Bergman hosted an all-night radio call-in show on KPFK in Los Angeles beginning in 1966, “Radio Free Oz,” which served as the testing ground for the high-spirited Firesign sensibility. Phil Austin and David Ossman, two other founders of the four-man group, were the producer and director of the show; the fourth founder, Phil Proctor, was a frequent guest.

“We started out as four friends, up all night, taking calls from people on bad acid trips and having the time of our lives,” Mr. Austin said in a phone interview Friday. “And that’s what we always were: four friends talking.”

Mr. Bergman and his friends recorded their first album, “Waiting for the Electrician or Someone Like Him,” in 1968, followed the next year by “How Can You Be in Two Places at Once When You’re Not Anywhere At All?”