72208400131 has 32 divisors (see below), whose sum is σ = 86584780800. Its totient is φ = 60157339200.

The previous prime is 72208400129. The next prime is 72208400153. The reversal of 72208400131 is 13100480227.

It is not a de Polignac number, because 72208400131 - 2¹ = 72208400129 is a prime.

It is a super-2 number, since 2×72208400131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72208400131.

It is not an unprimeable number, because it can be changed into a prime (72208400101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3801600 + ... + 3820546.

It is an arithmetic number, because the mean of its divisors is an integer number (2705774400).

Almost surely, 2^72208400131 is an apocalyptic number.

72208400131 is a deficient number, since it is larger than the sum of its proper divisors (14376380669).

72208400131 is a wasteful number, since it uses less digits than its factorization.

72208400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19280 (or 19266 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 72208400131 its reverse (13100480227), we get a palindrome (85308880358).

The spelling of 72208400131 in words is "seventy-two billion, two hundred eight million, four hundred thousand, one hundred thirty-one".