72636368 has 40 divisors (see below), whose sum is σ = 161602752. Its totient is φ = 30981888.

The previous prime is 72636353. The next prime is 72636391. The reversal of 72636368 is 86363627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23996 + ... + 26852.

Almost surely, 2^72636368 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 72636368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80801376).

72636368 is an abundant number, since it is smaller than the sum of its proper divisors (88966384).

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

72636368 is a wasteful number, since it uses less digits than its factorization.

72636368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3093 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 72636368 is about 8522.6972256440. The cubic root of 72636368 is about 417.2388183201.

It can be divided in two parts, 7263 and 6368, that added together give a palindrome (13631).

The spelling of 72636368 in words is "seventy-two million, six hundred thirty-six thousand, three hundred sixty-eight".