72413114631 has 64 divisors (see below), whose sum is σ = 115267428864. Its totient is φ = 39859776000.

The previous prime is 72413114591. The next prime is 72413114663. The reversal of 72413114631 is 13641131427.

It is not a de Polignac number, because 72413114631 - 2⁶ = 72413114567 is a prime.

It is a super-2 number, since 2×72413114631² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72413114592 and 72413114601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72413114531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7057501 + ... + 7067753.

It is an arithmetic number, because the mean of its divisors is an integer number (1801053576).

Almost surely, 2^72413114631 is an apocalyptic number.

72413114631 is a deficient number, since it is larger than the sum of its proper divisors (42854314233).

72413114631 is a wasteful number, since it uses less digits than its factorization.

72413114631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544.

The product of its digits is 12096, while the sum is 33.

The spelling of 72413114631 in words is "seventy-two billion, four hundred thirteen million, one hundred fourteen thousand, six hundred thirty-one".