72112117184005 has 32 divisors (see below), whose sum is σ = 87124190022144. Its totient is φ = 57297965531136.

The previous prime is 72112117183991. The next prime is 72112117184021. The reversal of 72112117184005 is 50048171121127.

It is a cyclic number.

It is not a de Polignac number, because 72112117184005 - 2¹¹ = 72112117181957 is a prime.

It is a super-2 number, since 2×72112117184005² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4352748232 + ... + 4352764798.

It is an arithmetic number, because the mean of its divisors is an integer number (2722630938192).

Almost surely, 2^{72112117184005} is an apocalyptic number.

It is an amenable number.

72112117184005 is a deficient number, since it is larger than the sum of its proper divisors (15012072838139).

72112117184005 is a wasteful number, since it uses less digits than its factorization.

72112117184005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26565.

The product of its (nonzero) digits is 31360, while the sum is 40.

The spelling of 72112117184005 in words is "seventy-two trillion, one hundred twelve billion, one hundred seventeen million, one hundred eighty-four thousand, five".