72017120116161 has 16 divisors (see below), whose sum is σ = 116391305238720. Its totient is φ = 43646739464160.

The previous prime is 72017120116157. The next prime is 72017120116187. The reversal of 72017120116161 is 16161102171027.

72017120116161 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 7 + 1 + 20 + 11 + 616 + 1 = 666.

It is not a de Polignac number, because 72017120116161 - 2² = 72017120116157 is a prime.

It is a super-2 number, since 2×72017120116161² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72017120117161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121240942660 + ... + 121240943253.

It is an arithmetic number, because the mean of its divisors is an integer number (7274456577420).

Almost surely, 2^{72017120116161} is an apocalyptic number.

It is an amenable number.

72017120116161 is a deficient number, since it is larger than the sum of its proper divisors (44374185122559).

72017120116161 is a wasteful number, since it uses less digits than its factorization.

72017120116161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242481885933 (or 242481885927 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

Adding to 72017120116161 its reverse (16161102171027), we get a palindrome (88178222287188).

The spelling of 72017120116161 in words is "seventy-two trillion, seventeen billion, one hundred twenty million, one hundred sixteen thousand, one hundred sixty-one".