72967084 has 12 divisors (see below), whose sum is σ = 127758400. Its totient is φ = 36464688.

The previous prime is 72967079. The next prime is 72967091. The reversal of 72967084 is 48076927.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72967084.

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 3 ways as a sum of consecutive naturals, for example, 7522 + ... + 14230.

Almost surely, 2^72967084 is an apocalyptic number.

It is an amenable number.

72967084 is a deficient number, since it is larger than the sum of its proper divisors (54791316).

72967084 is a wasteful number, since it uses less digits than its factorization.

72967084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9430 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 72967084 is about 8542.0772649280. The cubic root of 72967084 is about 417.8710941538.

The spelling of 72967084 in words is "seventy-two million, nine hundred sixty-seven thousand, eighty-four".