72110306631 has 32 divisors (see below), whose sum is σ = 112202592768. Its totient is φ = 40708362240.

The previous prime is 72110306557. The next prime is 72110306651. The reversal of 72110306631 is 13660301127.

It is not a de Polignac number, because 72110306631 - 2¹⁰ = 72110305607 is a prime.

It is a super-2 number, since 2×72110306631² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72110306651) 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 31 ways as a sum of consecutive naturals, for example, 608155 + ... + 716988.

It is an arithmetic number, because the mean of its divisors is an integer number (3506331024).

Almost surely, 2^72110306631 is an apocalyptic number.

72110306631 is a deficient number, since it is larger than the sum of its proper divisors (40092286137).

72110306631 is a wasteful number, since it uses less digits than its factorization.

72110306631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325271.

The product of its (nonzero) digits is 4536, while the sum is 30.

Adding to 72110306631 its reverse (13660301127), we get a palindrome (85770607758).

The spelling of 72110306631 in words is "seventy-two billion, one hundred ten million, three hundred six thousand, six hundred thirty-one".