72712832 has 16 divisors (see below), whose sum is σ = 144857850. Its totient is φ = 36356352.

The previous prime is 72712819. The next prime is 72712837. The reversal of 72712832 is 23821727.

It can be written as a sum of positive squares in only one way, i.e., 63616576 + 9096256 = 7976^2 + 3016^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×72712832³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72712837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 283907 + ... + 284162.

Almost surely, 2^72712832 is an apocalyptic number.

It is an amenable number.

72712832 is a deficient number, since it is larger than the sum of its proper divisors (72145018).

72712832 is an equidigital number, since it uses as much as digits as its factorization.

72712832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568083 (or 568071 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 72712832 is about 8527.1819495071. The cubic root of 72712832 is about 417.3851754937.

The spelling of 72712832 in words is "seventy-two million, seven hundred twelve thousand, eight hundred thirty-two".