72654045627 has 32 divisors (see below), whose sum is σ = 103036018176. Its totient is φ = 45442425600.

The previous prime is 72654045587. The next prime is 72654045631.

72654045627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72654045627 - 2¹⁸ = 72653783483 is a prime.

It is a super-2 number, since 2×72654045627² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72654045227) 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 31 ways as a sum of consecutive naturals, for example, 871852 + ... + 951542.

It is an arithmetic number, because the mean of its divisors is an integer number (3219875568).

Almost surely, 2^72654045627 is an apocalyptic number.

72654045627 is a deficient number, since it is larger than the sum of its proper divisors (30381972549).

72654045627 is a wasteful number, since it uses less digits than its factorization.

72654045627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79971.

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 72654045627 in words is "seventy-two billion, six hundred fifty-four million, forty-five thousand, six hundred twenty-seven".