72986368 has 108 divisors (see below), whose sum is σ = 181041168. Its totient is φ = 28753920.

The previous prime is 72986357. The next prime is 72986371. The reversal of 72986368 is 86368927.

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 11 ways as a sum of consecutive naturals, for example, 302728 + ... + 302968.

Almost surely, 2^72986368 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 72986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90520584).

72986368 is an abundant number, since it is smaller than the sum of its proper divisors (108054800).

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

72986368 is a wasteful number, since it uses less digits than its factorization.

72986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 72986368 is about 8543.2059556117. The cubic root of 72986368 is about 417.9079030634.

The spelling of 72986368 in words is "seventy-two million, nine hundred eighty-six thousand, three hundred sixty-eight".