72131120 has 40 divisors (see below), whose sum is σ = 173493360. Its totient is φ = 27856640.

The previous prime is 72131117. The next prime is 72131159. The reversal of 72131120 is 2113127.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13226 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (4337334).

Almost surely, 2^72131120 is an apocalyptic number.

It is an amenable number.

72131120 is an abundant number, since it is smaller than the sum of its proper divisors (101362240).

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

72131120 is a wasteful number, since it uses less digits than its factorization.

72131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31133 (or 31127 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 72131120 is about 8493.0041799118. The cubic root of 72131120 is about 416.2691490498.

Adding to 72131120 its reverse (2113127), we get a palindrome (74244247).

The spelling of 72131120 in words is "seventy-two million, one hundred thirty-one thousand, one hundred twenty".