72118966116717 has 48 divisors (see below), whose sum is σ = 112977355768368. Its totient is φ = 44067855237120.

The previous prime is 72118966116679. The next prime is 72118966116767. The reversal of 72118966116717 is 71761166981127.

It is a happy number.

72118966116717 is a `hidden beast` number, since 7 + 2 + 1 + 1 + 8 + 9 + 6 + 611 + 6 + 7 + 1 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4004085042441 + 68114881074276 = 2001021^2 + 8253174^2 .

It is not a de Polignac number, because 72118966116717 - 2¹¹ = 72118966114669 is a prime.

It is a super-2 number, since 2×72118966116717² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72118966116767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25339117 + ... + 28041197.

It is an arithmetic number, because the mean of its divisors is an integer number (2353694911841).

Almost surely, 2^{72118966116717} is an apocalyptic number.

It is an amenable number.

72118966116717 is a deficient number, since it is larger than the sum of its proper divisors (40858389651651).

72118966116717 is a wasteful number, since it uses less digits than its factorization.

72118966116717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703710 (or 2703707 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 63.

The spelling of 72118966116717 in words is "seventy-two trillion, one hundred eighteen billion, nine hundred sixty-six million, one hundred sixteen thousand, seven hundred seventeen".