72639936 has 112 divisors (see below), whose sum is σ = 215879680. Its totient is φ = 23950080.

The previous prime is 72639923. The next prime is 72639961. The reversal of 72639936 is 63993627.

72639936 is a `hidden beast` number, since 7 + 2 + 639 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72639891 and 72639900.

It is a congruent number.

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, 219291 + ... + 219621.

Almost surely, 2^72639936 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 72639936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939840).

72639936 is an abundant number, since it is smaller than the sum of its proper divisors (143239744).

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

72639936 is a wasteful number, since it uses less digits than its factorization.

72639936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 72639936 is about 8522.9065464781. The cubic root of 72639936 is about 417.2456499931.

The spelling of 72639936 in words is "seventy-two million, six hundred thirty-nine thousand, nine hundred thirty-six".