72657284 has 24 divisors (see below), whose sum is σ = 145746048. Its totient is φ = 31046400.

The previous prime is 72657281. The next prime is 72657301. The reversal of 72657284 is 48275627.

It is not an unprimeable number, because it can be changed into a prime (72657281) 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, 6209 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (6072752).

Almost surely, 2^72657284 is an apocalyptic number.

It is an amenable number.

72657284 is an abundant number, since it is smaller than the sum of its proper divisors (73088764).

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

72657284 is a wasteful number, since it uses less digits than its factorization.

72657284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715 (or 7713 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 72657284 is about 8523.9242136471. The cubic root of 72657284 is about 417.2788631344.

The spelling of 72657284 in words is "seventy-two million, six hundred fifty-seven thousand, two hundred eighty-four".