72114656507167 has 8 divisors (see below), whose sum is σ = 72123286075200. Its totient is φ = 72106027428864.

The previous prime is 72114656507111. The next prime is 72114656507209. The reversal of 72114656507167 is 76170565641127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72114656507167 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 (72114659507167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352766218 + ... + 352970584.

It is an arithmetic number, because the mean of its divisors is an integer number (9015410759400).

Almost surely, 2^{72114656507167} is an apocalyptic number.

72114656507167 is a deficient number, since it is larger than the sum of its proper divisors (8629568033).

72114656507167 is a wasteful number, since it uses less digits than its factorization.

72114656507167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244865.

The product of its (nonzero) digits is 14817600, while the sum is 58.

The spelling of 72114656507167 in words is "seventy-two trillion, one hundred fourteen billion, six hundred fifty-six million, five hundred seven thousand, one hundred sixty-seven".