72162464 has 36 divisors (see below), whose sum is σ = 156167802. Its totient is φ = 32799360.

The previous prime is 72162443. The next prime is 72162473. The reversal of 72162464 is 46426127.

It can be written as a sum of positive squares in only one way, i.e., 72114064 + 48400 = 8492^2 + 220^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 72162464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5447 + ... + 13190.

Almost surely, 2^72162464 is an apocalyptic number.

It is an amenable number.

72162464 is an abundant number, since it is smaller than the sum of its proper divisors (84005338).

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

72162464 is a wasteful number, since it uses less digits than its factorization.

72162464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18669 (or 18650 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 72162464 is about 8494.8492629357. The cubic root of 72162464 is about 416.3294357922.

The spelling of 72162464 in words is "seventy-two million, one hundred sixty-two thousand, four hundred sixty-four".