72534384 has 60 divisors (see below), whose sum is σ = 218616216. Its totient is φ = 22317696.

The previous prime is 72534379. The next prime is 72534391. The reversal of 72534384 is 48343527.

It is a happy number.

It is a super-2 number, since 2×72534384² = 10522473724518912, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17502 + ... + 21245.

Almost surely, 2^72534384 is an apocalyptic number.

It is an amenable number.

72534384 is an abundant number, since it is smaller than the sum of its proper divisors (146081832).

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

72534384 is a wasteful number, since it uses less digits than its factorization.

72534384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38774 (or 38765 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72534384 is about 8516.7120416273. The cubic root of 72534384 is about 417.0434542298.

The spelling of 72534384 in words is "seventy-two million, five hundred thirty-four thousand, three hundred eighty-four".