72137913 has 16 divisors (see below), whose sum is σ = 100608000. Its totient is φ = 45890064.

The previous prime is 72137911. The next prime is 72137921. The reversal of 72137913 is 31973127.

It is a happy number.

It is not a de Polignac number, because 72137913 - 2¹ = 72137911 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72137911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35088 + ... + 37086.

It is an arithmetic number, because the mean of its divisors is an integer number (6288000).

Almost surely, 2^72137913 is an apocalyptic number.

It is an amenable number.

72137913 is a deficient number, since it is larger than the sum of its proper divisors (28470087).

72137913 is a wasteful number, since it uses less digits than its factorization.

72137913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548.

The product of its digits is 7938, while the sum is 33.

The square root of 72137913 is about 8493.4040878790. The cubic root of 72137913 is about 416.2822161215.

The spelling of 72137913 in words is "seventy-two million, one hundred thirty-seven thousand, nine hundred thirteen".