72895632 has 40 divisors (see below), whose sum is σ = 194392320. Its totient is φ = 23514240.

The previous prime is 72895619. The next prime is 72895649. The reversal of 72895632 is 23659827.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23007 + ... + 25982.

It is an arithmetic number, because the mean of its divisors is an integer number (4859808).

Almost surely, 2^72895632 is an apocalyptic number.

It is an amenable number.

72895632 is an abundant number, since it is smaller than the sum of its proper divisors (121496688).

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

72895632 is a wasteful number, since it uses less digits than its factorization.

72895632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49031 (or 49025 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 72895632 is about 8537.8938854966. The cubic root of 72895632 is about 417.7346514593.

It can be divided in two parts, 7289 and 5632, that added together give a palindrome (12921).

The spelling of 72895632 in words is "seventy-two million, eight hundred ninety-five thousand, six hundred thirty-two".