72807696 has 240 divisors, whose sum is σ = 243734400. Its totient is φ = 20072448.

The previous prime is 72807689. The next prime is 72807697. The reversal of 72807696 is 69670827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72807697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818020 + ... + 818108.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^72807696 is an apocalyptic number.

72807696 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72807696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

72807696 is an abundant number, since it is smaller than the sum of its proper divisors (170926704).

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

72807696 is a wasteful number, since it uses less digits than its factorization.

72807696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72807696 is about 8532.7425837183. The cubic root of 72807696 is about 417.5666089477.

The spelling of 72807696 in words is "seventy-two million, eight hundred seven thousand, six hundred ninety-six".