72031524 has 12 divisors (see below), whose sum is σ = 168073584. Its totient is φ = 24010504.

The previous prime is 72031513. The next prime is 72031537. The reversal of 72031524 is 42513027.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 72031494 and 72031503.

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 3 ways as a sum of consecutive naturals, for example, 3001302 + ... + 3001325.

It is an arithmetic number, because the mean of its divisors is an integer number (14006132).

Almost surely, 2^72031524 is an apocalyptic number.

It is an amenable number.

72031524 is an abundant number, since it is smaller than the sum of its proper divisors (96042060).

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

72031524 is a wasteful number, since it uses less digits than its factorization.

72031524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002634 (or 6002632 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72031524 is about 8487.1387404708. The cubic root of 72031524 is about 416.0774710871.

The spelling of 72031524 in words is "seventy-two million, thirty-one thousand, five hundred twenty-four".