72790907904 has 1320 divisors, whose sum is σ = 285371090928. Its totient is φ = 18154782720.

The previous prime is 72790907857. The next prime is 72790907927. The reversal of 72790907904 is 40970909727.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3831100407 + ... + 3831100425.

Almost surely, 2^72790907904 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 72790907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142685545464).

72790907904 is an abundant number, since it is smaller than the sum of its proper divisors (212580183024).

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

72790907904 is a wasteful number, since it uses less digits than its factorization.

72790907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 72790907904 in words is "seventy-two billion, seven hundred ninety million, nine hundred seven thousand, nine hundred four".