72634590 has 64 divisors (see below), whose sum is σ = 221368320. Its totient is φ = 16601760.

The previous prime is 72634579. The next prime is 72634603. The reversal of 72634590 is 9543627.

72634590 is a `hidden beast` number, since 7 + 2 + 63 + 4 + 590 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17326 + ... + 21105.

It is an arithmetic number, because the mean of its divisors is an integer number (3458880).

Almost surely, 2^72634590 is an apocalyptic number.

72634590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72634590 is an abundant number, since it is smaller than the sum of its proper divisors (148733730).

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

72634590 is a wasteful number, since it uses less digits than its factorization.

72634590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38454 (or 38448 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72634590 is about 8522.5929153046. The cubic root of 72634590 is about 417.2354138884.

The spelling of 72634590 in words is "seventy-two million, six hundred thirty-four thousand, five hundred ninety".