72120560157 has 48 divisors (see below), whose sum is σ = 107400483840. Its totient is φ = 46617775776.

The previous prime is 72120560153. The next prime is 72120560177. The reversal of 72120560157 is 75106502127.

72120560157 is a `hidden beast` number, since 7 + 21 + 20 + 5 + 601 + 5 + 7 = 666.

It is not a de Polignac number, because 72120560157 - 2² = 72120560153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72120560153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16527858 + ... + 16532220.

It is an arithmetic number, because the mean of its divisors is an integer number (2237510080).

Almost surely, 2^72120560157 is an apocalyptic number.

It is an amenable number.

72120560157 is a deficient number, since it is larger than the sum of its proper divisors (35279923683).

72120560157 is a wasteful number, since it uses less digits than its factorization.

72120560157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 72120560157 in words is "seventy-two billion, one hundred twenty million, five hundred sixty thousand, one hundred fifty-seven".