72856600 has 48 divisors (see below), whose sum is σ = 170692200. Its totient is φ = 28919040.

The previous prime is 72856561. The next prime is 72856607. The reversal of 72856600 is 665827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72856607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26071 + ... + 28729.

Almost surely, 2^72856600 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 72856600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85346100).

72856600 is an abundant number, since it is smaller than the sum of its proper divisors (97835600).

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

72856600 is a wasteful number, since it uses less digits than its factorization.

72856600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 72856600 is about 8535.6077698076. The cubic root of 72856600 is about 417.6600794102.

The spelling of 72856600 in words is "seventy-two million, eight hundred fifty-six thousand, six hundred".