72671817627 has 16 divisors (see below), whose sum is σ = 107686613280. Its totient is φ = 48436780896.

The previous prime is 72671817553. The next prime is 72671817667.

72671817627 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 1 + 8 + 1 + 7 + 627 = 666.

72671817627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72671817627 - 2⁸ = 72671817371 is a prime.

It is a super-2 number, since 2×72671817627² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72671817667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187348 + ... + 424785.

It is an arithmetic number, because the mean of its divisors is an integer number (6730413330).

Almost surely, 2^72671817627 is an apocalyptic number.

72671817627 is a deficient number, since it is larger than the sum of its proper divisors (35014795653).

72671817627 is a wasteful number, since it uses less digits than its factorization.

72671817627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616539 (or 616533 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 54.

The spelling of 72671817627 in words is "seventy-two billion, six hundred seventy-one million, eight hundred seventeen thousand, six hundred twenty-seven".