72967320 has 96 divisors (see below), whose sum is σ = 238839120. Its totient is φ = 19319040.

The previous prime is 72967319. The next prime is 72967337. The reversal of 72967320 is 2376927.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 55875 + ... + 57165.

Almost surely, 2^72967320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72967320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119419560).

72967320 is an abundant number, since it is smaller than the sum of its proper divisors (165871800).

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

72967320 is a wasteful number, since it uses less digits than its factorization.

72967320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72967320 is about 8542.0910788869. The cubic root of 72967320 is about 417.8715446650.

The spelling of 72967320 in words is "seventy-two million, nine hundred sixty-seven thousand, three hundred twenty".