72149351117 has 16 divisors (see below), whose sum is σ = 73244833200. Its totient is φ = 71064494592.

The previous prime is 72149351089. The next prime is 72149351161. The reversal of 72149351117 is 71115394127.

It can be written as a sum of positive squares in 8 ways, for example, as 21021810121 + 51127540996 = 144989^2 + 226114^2 .

It is a cyclic number.

It is not a de Polignac number, because 72149351117 - 2²⁴ = 72132573901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72149351167) 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, 9183563 + ... + 9191415.

It is an arithmetic number, because the mean of its divisors is an integer number (4577802075).

Almost surely, 2^72149351117 is an apocalyptic number.

It is an amenable number.

72149351117 is a deficient number, since it is larger than the sum of its proper divisors (1095482083).

72149351117 is a wasteful number, since it uses less digits than its factorization.

72149351117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512.

The product of its digits is 52920, while the sum is 41.

The spelling of 72149351117 in words is "seventy-two billion, one hundred forty-nine million, three hundred fifty-one thousand, one hundred seventeen".