72738414131 has 16 divisors (see below), whose sum is σ = 77728896000. Its totient is φ = 67829908608.

The previous prime is 72738414113. The next prime is 72738414137. The reversal of 72738414131 is 13141483727.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-72738414131 is a prime.

It is a super-2 number, since 2×72738414131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72738414137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763556 + ... + 853518.

It is an arithmetic number, because the mean of its divisors is an integer number (4858056000).

Almost surely, 2^72738414131 is an apocalyptic number.

72738414131 is a deficient number, since it is larger than the sum of its proper divisors (4990481869).

72738414131 is a wasteful number, since it uses less digits than its factorization.

72738414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90418.

The product of its digits is 112896, while the sum is 41.

Adding to 72738414131 its reverse (13141483727), we get a palindrome (85879897858).

The spelling of 72738414131 in words is "seventy-two billion, seven hundred thirty-eight million, four hundred fourteen thousand, one hundred thirty-one".