72768700 has 36 divisors (see below), whose sum is σ = 160279672. Its totient is φ = 28670400.

The previous prime is 72768679. The next prime is 72768701. The reversal of 72768700 is 786727.

It is a self number, because there is not a number n which added to its sum of digits gives 72768700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72768701) 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, 1270 + ... + 12130.

Almost surely, 2^72768700 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 72768700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80139836).

72768700 is an abundant number, since it is smaller than the sum of its proper divisors (87510972).

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

72768700 is a wasteful number, since it uses less digits than its factorization.

72768700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 72768700 is about 8530.4571975950. The cubic root of 72768700 is about 417.4920456969.

The spelling of 72768700 in words is "seventy-two million, seven hundred sixty-eight thousand, seven hundred".