72638910 has 64 divisors (see below), whose sum is σ = 200404800. Its totient is φ = 18700416.

The previous prime is 72638851. The next prime is 72638941. The reversal of 72638910 is 1983627.

72638910 is a `hidden beast` number, since 7 + 2 + 638 + 9 + 10 = 666.

It is a super-2 number, since 2×72638910² = 10552822491976200, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3192 + ... + 12468.

It is an arithmetic number, because the mean of its divisors is an integer number (3131325).

Almost surely, 2^72638910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72638910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100202400).

72638910 is an abundant number, since it is smaller than the sum of its proper divisors (127765890).

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

72638910 is a wasteful number, since it uses less digits than its factorization.

72638910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72638910 is about 8522.8463555317. The cubic root of 72638910 is about 417.2436855271.

The spelling of 72638910 in words is "seventy-two million, six hundred thirty-eight thousand, nine hundred ten".