72179136 has 42 divisors (see below), whose sum is σ = 206890112. Its totient is φ = 24059520.

The previous prime is 72179131. The next prime is 72179137. The reversal of 72179136 is 63197127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72179136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72179131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62080 + ... + 63231.

Almost surely, 2^72179136 is an apocalyptic number.

It is an amenable number.

72179136 is an abundant number, since it is smaller than the sum of its proper divisors (134710976).

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

72179136 is a wasteful number, since it uses less digits than its factorization.

72179136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125329 (or 125316 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 72179136 is about 8495.8305067839. The cubic root of 72179136 is about 416.3614954416.

Subtracting from 72179136 its reverse (63197127), we obtain a square (8982009 = 2997²).

The spelling of 72179136 in words is "seventy-two million, one hundred seventy-nine thousand, one hundred thirty-six".