72157900800 has 624 divisors, whose sum is σ = 259535701152. Its totient is φ = 17616076800.

The previous prime is 72157900781. The next prime is 72157900811. The reversal of 72157900800 is 800975127.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214118232 + ... + 214118568.

It is an arithmetic number, because the mean of its divisors is an integer number (415922598).

Almost surely, 2^72157900800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72157900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129767850576).

72157900800 is an abundant number, since it is smaller than the sum of its proper divisors (187377800352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72157900800 is a wasteful number, since it uses less digits than its factorization.

72157900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 72157900800 in words is "seventy-two billion, one hundred fifty-seven million, nine hundred thousand, eight hundred".