72130137 has 16 divisors (see below), whose sum is σ = 101760000. Its totient is φ = 45319824.

The previous prime is 72130127. The next prime is 72130141. The reversal of 72130137 is 73103127.

It is not a de Polignac number, because 72130137 - 2²⁰ = 71081561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72130127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8164 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (6360000).

Almost surely, 2^72130137 is an apocalyptic number.

It is an amenable number.

72130137 is a deficient number, since it is larger than the sum of its proper divisors (29629863).

72130137 is a wasteful number, since it uses less digits than its factorization.

72130137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 72130137 is about 8492.9463085551. The cubic root of 72130137 is about 416.2672580748.

The spelling of 72130137 in words is "seventy-two million, one hundred thirty thousand, one hundred thirty-seven".