72657888875627 has 8 divisors (see below), whose sum is σ = 79451425024752. Its totient is φ = 65895731647200.

The previous prime is 72657888875617. The next prime is 72657888875629.

72657888875627 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72657888875627 - 2²⁰ = 72657887827051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72657888875629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7844725328 + ... + 7844734589.

It is an arithmetic number, because the mean of its divisors is an integer number (9931428128094).

Almost surely, 2^{72657888875627} is an apocalyptic number.

72657888875627 is a deficient number, since it is larger than the sum of its proper divisors (6793536149125).

72657888875627 is a wasteful number, since it uses less digits than its factorization.

72657888875627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15689460349.

The product of its digits is 35404185600, while the sum is 86.

The spelling of 72657888875627 in words is "seventy-two trillion, six hundred fifty-seven billion, eight hundred eighty-eight million, eight hundred seventy-five thousand, six hundred twenty-seven".