72810696 has 64 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 20317248.

The previous prime is 72810667. The next prime is 72810701. The reversal of 72810696 is 69601827.

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, 2185 + ... + 12263.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^72810696 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 72810696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

72810696 is an abundant number, since it is smaller than the sum of its proper divisors (140078904).

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

72810696 is a wasteful number, since it uses less digits than its factorization.

72810696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 72810696 is about 8532.9183753274. The cubic root of 72810696 is about 417.5723440677.

The spelling of 72810696 in words is "seventy-two million, eight hundred ten thousand, six hundred ninety-six".