72936840 has 64 divisors (see below), whose sum is σ = 219504960. Its totient is φ = 19388160.

The previous prime is 72936821. The next prime is 72936881. The reversal of 72936840 is 4863927.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46875 + ... + 48405.

It is an arithmetic number, because the mean of its divisors is an integer number (3429765).

Almost surely, 2^72936840 is an apocalyptic number.

It is an amenable number.

72936840 is an abundant number, since it is smaller than the sum of its proper divisors (146568120).

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

72936840 is a wasteful number, since it uses less digits than its factorization.

72936840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72936840 is about 8540.3067860587. The cubic root of 72936840 is about 417.8133519537.

The spelling of 72936840 in words is "seventy-two million, nine hundred thirty-six thousand, eight hundred forty".