72139032 has 64 divisors (see below), whose sum is σ = 229017600. Its totient is φ = 20610720.

The previous prime is 72139019. The next prime is 72139057. The reversal of 72139032 is 23093127.

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

It is a junction number, because it is equal to n+sod(n) for n = 72138987 and 72139005.

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, 22344 + ... + 25367.

It is an arithmetic number, because the mean of its divisors is an integer number (3578400).

Almost surely, 2^72139032 is an apocalyptic number.

72139032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72139032 is an abundant number, since it is smaller than the sum of its proper divisors (156878568).

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

72139032 is a wasteful number, since it uses less digits than its factorization.

72139032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47733 (or 47723 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72139032 is about 8493.4699622710. The cubic root of 72139032 is about 416.2843685606.

The spelling of 72139032 in words is "seventy-two million, one hundred thirty-nine thousand, thirty-two".