72656700 has 72 divisors (see below), whose sum is σ = 211986432. Its totient is φ = 19212480.

The previous prime is 72656699. The next prime is 72656711. The reversal of 72656700 is 765627.

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 23 ways as a sum of consecutive naturals, for example, 37147 + ... + 39053.

It is an arithmetic number, because the mean of its divisors is an integer number (2944256).

Almost surely, 2^72656700 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 72656700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105993216).

72656700 is an abundant number, since it is smaller than the sum of its proper divisors (139329732).

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

72656700 is a wasteful number, since it uses less digits than its factorization.

72656700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 72656700 is about 8523.8899570560. The cubic root of 72656700 is about 417.2777451391.

The spelling of 72656700 in words is "seventy-two million, six hundred fifty-six thousand, seven hundred".