72768600 has 72 divisors (see below), whose sum is σ = 244387260. Its totient is φ = 19404480.

The previous prime is 72768589. The next prime is 72768623. The reversal of 72768600 is 686727.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18414 + ... + 22013.

Almost surely, 2^72768600 is an apocalyptic number.

It is an amenable number.

72768600 is an abundant number, since it is smaller than the sum of its proper divisors (171618660).

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

72768600 is a wasteful number, since it uses less digits than its factorization.

72768600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40449 (or 40437 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 72768600 is about 8530.4513362424. The cubic root of 72768600 is about 417.4918544552.

It can be divided in two parts, 7276 and 8600, that added together give a square (15876 = 126²).

The spelling of 72768600 in words is "seventy-two million, seven hundred sixty-eight thousand, six hundred".