72856896 has 112 divisors (see below), whose sum is σ = 222382080. Its totient is φ = 20620800.

The previous prime is 72856859. The next prime is 72856897. The reversal of 72856896 is 69865827.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72856897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202765 + ... + 203123.

Almost surely, 2^72856896 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 72856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111191040).

72856896 is an abundant number, since it is smaller than the sum of its proper divisors (149525184).

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

72856896 is a wasteful number, since it uses less digits than its factorization.

72856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 72856896 is about 8535.6251089185. The cubic root of 72856896 is about 417.6606450291.

The spelling of 72856896 in words is "seventy-two million, eight hundred fifty-six thousand, eight hundred ninety-six".