72805696 has 56 divisors (see below), whose sum is σ = 155621736. Its totient is φ = 33669120.

The previous prime is 72805693. The next prime is 72805697. The reversal of 72805696 is 69650827.

It can be written as a sum of positive squares in 4 ways, for example, as 1166400 + 71639296 = 1080^2 + 8464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72805693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65820 + ... + 66916.

Almost surely, 2^72805696 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 72805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77810868).

72805696 is an abundant number, since it is smaller than the sum of its proper divisors (82816040).

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

72805696 is a wasteful number, since it uses less digits than its factorization.

72805696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 72805696 is about 8532.6253873002. The cubic root of 72805696 is about 417.5627854468.

The spelling of 72805696 in words is "seventy-two million, eight hundred five thousand, six hundred ninety-six".