72531504 has 80 divisors (see below), whose sum is σ = 209212800. Its totient is φ = 24058944.

The previous prime is 72531463. The next prime is 72531521. The reversal of 72531504 is 40513527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163507 + ... + 163949.

It is an arithmetic number, because the mean of its divisors is an integer number (2615160).

Almost surely, 2^72531504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606400).

72531504 is an abundant number, since it is smaller than the sum of its proper divisors (136681296).

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

72531504 is a wasteful number, since it uses less digits than its factorization.

72531504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72531504 is about 8516.5429606149. The cubic root of 72531504 is about 417.0379345439.

The spelling of 72531504 in words is "seventy-two million, five hundred thirty-one thousand, five hundred four".