72714112317 has 192 divisors, whose sum is σ = 144513331200. Its totient is φ = 35266492800.

The previous prime is 72714112283. The next prime is 72714112349. The reversal of 72714112317 is 71321141727.

72714112317 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 411 + 231 + 7 = 666.

It is not a de Polignac number, because 72714112317 - 2²⁰ = 72713063741 is a prime.

It is a super-2 number, since 2×72714112317² (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 (72714112117) 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 191 ways as a sum of consecutive naturals, for example, 30849103 + ... + 30851459.

It is an arithmetic number, because the mean of its divisors is an integer number (752673600).

Almost surely, 2^72714112317 is an apocalyptic number.

72714112317 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72714112317 is a deficient number, since it is larger than the sum of its proper divisors (71799218883).

72714112317 is a wasteful number, since it uses less digits than its factorization.

72714112317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2468 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The spelling of 72714112317 in words is "seventy-two billion, seven hundred fourteen million, one hundred twelve thousand, three hundred seventeen".