72131637 has 16 divisors (see below), whose sum is σ = 99534848. Its totient is φ = 46416240.

The previous prime is 72131623. The next prime is 72131641. The reversal of 72131637 is 73613127.

It is not a de Polignac number, because 72131637 - 2¹⁰ = 72130613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72131677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47898 + ... + 49380.

It is an arithmetic number, because the mean of its divisors is an integer number (6220928).

Almost surely, 2^72131637 is an apocalyptic number.

It is an amenable number.

72131637 is a deficient number, since it is larger than the sum of its proper divisors (27403211).

72131637 is a wasteful number, since it uses less digits than its factorization.

72131637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040.

The product of its digits is 5292, while the sum is 30.

The square root of 72131637 is about 8493.0346166727. The cubic root of 72131637 is about 416.2701435841.

The spelling of 72131637 in words is "seventy-two million, one hundred thirty-one thousand, six hundred thirty-seven".