72981936 has 60 divisors (see below), whose sum is σ = 210849600. Its totient is φ = 23541120.

The previous prime is 72981919. The next prime is 72981943. The reversal of 72981936 is 63918927.

It is a junction number, because it is equal to n+sod(n) for n = 72981891 and 72981900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3711 + ... + 12638.

It is an arithmetic number, because the mean of its divisors is an integer number (3514160).

Almost surely, 2^72981936 is an apocalyptic number.

It is an amenable number.

72981936 is an abundant number, since it is smaller than the sum of its proper divisors (137867664).

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

72981936 is a wasteful number, since it uses less digits than its factorization.

72981936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16385 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 72981936 is about 8542.9465642716. The cubic root of 72981936 is about 417.8994439252.

The spelling of 72981936 in words is "seventy-two million, nine hundred eighty-one thousand, nine hundred thirty-six".