72345537117 has 36 divisors (see below), whose sum is σ = 123272356896. Its totient is φ = 40758031440.

The previous prime is 72345537107. The next prime is 72345537133. The reversal of 72345537117 is 71173554327.

72345537117 is a `hidden beast` number, since 7 + 23 + 4 + 553 + 71 + 1 + 7 = 666.

It is not a de Polignac number, because 72345537117 - 2⁴ = 72345537101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72345537107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1123963 + ... + 1186584.

It is an arithmetic number, because the mean of its divisors is an integer number (3424232136).

Almost surely, 2^72345537117 is an apocalyptic number.

It is an amenable number.

72345537117 is a deficient number, since it is larger than the sum of its proper divisors (50926819779).

72345537117 is a wasteful number, since it uses less digits than its factorization.

72345537117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310638 (or 2310628 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The spelling of 72345537117 in words is "seventy-two billion, three hundred forty-five million, five hundred thirty-seven thousand, one hundred seventeen".