Same question for American cockroaches?
Ans: The American cockroach produces 1 ootheca per 2.5-3 days with each ootheca bearing about 12 offspring. The number of ootheca in the adult life of an American roach is probably somewhere in the literature. The egg cases start being less frequent as the female gets older and some of the ovarioles become inactive such that an ootheca might only contain 6-8 eggs in later life. I presume an adult female might continue the output for 6 months (although that is a guess) so resulting in 60 ootheca x 12 = 720 offspring. The variance about this average might be quite high so I would not be surprised by actual counts of females producing 500-1400 offspring in her lifetime.