72591792 has 80 divisors (see below), whose sum is σ = 230818560. Its totient is φ = 19143936.

The previous prime is 72591791. The next prime is 72591797. The reversal of 72591792 is 29719527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72591791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942 + ... + 12677.

It is an arithmetic number, because the mean of its divisors is an integer number (2885232).

Almost surely, 2^72591792 is an apocalyptic number.

It is an amenable number.

72591792 is an abundant number, since it is smaller than the sum of its proper divisors (158226768).

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

72591792 is a wasteful number, since it uses less digits than its factorization.

72591792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16650 (or 16644 counting only the distinct ones).

The product of its digits is 79380, while the sum is 42.

The square root of 72591792 is about 8520.0816897492. The cubic root of 72591792 is about 417.1534494983.

The spelling of 72591792 in words is "seventy-two million, five hundred ninety-one thousand, seven hundred ninety-two".