72065667102117 has 48 divisors (see below), whose sum is σ = 105398933857920. Its totient is φ = 43773797523456.

The previous prime is 72065667102089. The next prime is 72065667102131. The reversal of 72065667102117 is 71120176656027.

It is a happy number.

It is not a de Polignac number, because 72065667102117 - 2²⁶ = 72065599993253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72065667102117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72065667102617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24652008 + ... + 27419934.

It is an arithmetic number, because the mean of its divisors is an integer number (2195811122040).

Almost surely, 2^{72065667102117} is an apocalyptic number.

It is an amenable number.

72065667102117 is a deficient number, since it is larger than the sum of its proper divisors (33333266755803).

72065667102117 is a wasteful number, since it uses less digits than its factorization.

72065667102117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768622 (or 2768609 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 72065667102117 in words is "seventy-two trillion, sixty-five billion, six hundred sixty-seven million, one hundred two thousand, one hundred seventeen".