72157777775127 has 12 divisors (see below), whose sum is σ = 113703164979144. Its totient is φ = 43731986530320.

The previous prime is 72157777775099. The next prime is 72157777775147.

72157777775127 is a `hidden beast` number, since 7 + 21 + 577 + 7 + 7 + 7 + 7 + 5 + 1 + 27 = 666.

72157777775127 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72157777775127 - 2³⁵ = 72123418036759 is a prime.

It is a super-2 number, since 2×72157777775127² (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 (72157777775147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364433220988 + ... + 364433221185.

It is an arithmetic number, because the mean of its divisors is an integer number (9475263748262).

Almost surely, 2^{72157777775127} is an apocalyptic number.

72157777775127 is a deficient number, since it is larger than the sum of its proper divisors (41545387204017).

72157777775127 is a wasteful number, since it uses less digits than its factorization.

72157777775127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728866442190 (or 728866442187 counting only the distinct ones).

The product of its digits is 576480100, while the sum is 72.

The spelling of 72157777775127 in words is "seventy-two trillion, one hundred fifty-seven billion, seven hundred seventy-seven million, seven hundred seventy-five thousand, one hundred twenty-seven".