72155612116161 has 48 divisors (see below), whose sum is σ = 119184512428800. Its totient is φ = 41207386746240.

The previous prime is 72155612116103. The next prime is 72155612116177. The reversal of 72155612116161 is 16161121655127.

72155612116161 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 5 + 6 + 1 + 21 + 1 + 616 + 1 = 666.

It is not a de Polignac number, because 72155612116161 - 2¹⁹ = 72155611591873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72155612117161) 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, 750408115 + ... + 750504263.

It is an arithmetic number, because the mean of its divisors is an integer number (2483010675600).

Almost surely, 2^{72155612116161} is an apocalyptic number.

It is an amenable number.

72155612116161 is a deficient number, since it is larger than the sum of its proper divisors (47028900312639).

72155612116161 is a wasteful number, since it uses less digits than its factorization.

72155612116161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103086 (or 103083 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The spelling of 72155612116161 in words is "seventy-two trillion, one hundred fifty-five billion, six hundred twelve million, one hundred sixteen thousand, one hundred sixty-one".