72647600 has 30 divisors (see below), whose sum is σ = 174536820. Its totient is φ = 29058880.

The previous prime is 72647563. The next prime is 72647609. The reversal of 72647600 is 674627.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72647609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90410 + ... + 91209.

It is an arithmetic number, because the mean of its divisors is an integer number (5817894).

Almost surely, 2^72647600 is an apocalyptic number.

It is an amenable number.

72647600 is an abundant number, since it is smaller than the sum of its proper divisors (101889220).

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

72647600 is a wasteful number, since it uses less digits than its factorization.

72647600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181637 (or 181626 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 72647600 is about 8523.3561464953. The cubic root of 72647600 is about 417.2603235477.

The spelling of 72647600 in words is "seventy-two million, six hundred forty-seven thousand, six hundred".