72643666634627 has 16 divisors (see below), whose sum is σ = 79365399126624. Its totient is φ = 65941572480000.

The previous prime is 72643666634621. The next prime is 72643666634653.

72643666634627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72643666634627 - 2⁶ = 72643666634563 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72643666634621) 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, 133722977 + ... + 134265117.

It is an arithmetic number, because the mean of its divisors is an integer number (4960337445414).

Almost surely, 2^{72643666634627} is an apocalyptic number.

72643666634627 is a deficient number, since it is larger than the sum of its proper divisors (6721732491997).

72643666634627 is a wasteful number, since it uses less digits than its factorization.

72643666634627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560230.

The product of its digits is 1316818944, while the sum is 68.

The spelling of 72643666634627 in words is "seventy-two trillion, six hundred forty-three billion, six hundred sixty-six million, six hundred thirty-four thousand, six hundred twenty-seven".