72464532 has 36 divisors (see below), whose sum is σ = 196691040. Its totient is φ = 20703984.

The previous prime is 72464521. The next prime is 72464551. The reversal of 72464532 is 23546427.

It is a super-2 number, since 2×72464532² = 10502216795958048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72464493 and 72464502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61032 + ... + 62207.

It is an arithmetic number, because the mean of its divisors is an integer number (5463640).

Almost surely, 2^72464532 is an apocalyptic number.

It is an amenable number.

72464532 is an abundant number, since it is smaller than the sum of its proper divisors (124226508).

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

72464532 is a wasteful number, since it uses less digits than its factorization.

72464532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123260 (or 123251 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 72464532 is about 8512.6101754985. The cubic root of 72464532 is about 416.9095376231.

It can be divided in two parts, 724 and 64532, that added together give a palindrome (65256).

The spelling of 72464532 in words is "seventy-two million, four hundred sixty-four thousand, five hundred thirty-two".