72637622673627 has 64 divisors (see below), whose sum is σ = 111780579778560. Its totient is φ = 41873512783520.

The previous prime is 72637622673611. The next prime is 72637622673821.

72637622673627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72637622673627 - 2⁴ = 72637622673611 is a prime.

It is a super-2 number, since 2×72637622673627² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72637622673527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14229898 + ... + 18648464.

It is an arithmetic number, because the mean of its divisors is an integer number (1746571559040).

Almost surely, 2^{72637622673627} is an apocalyptic number.

72637622673627 is a deficient number, since it is larger than the sum of its proper divisors (39142957104933).

72637622673627 is a wasteful number, since it uses less digits than its factorization.

72637622673627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418805 (or 4418783 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 66.

The spelling of 72637622673627 in words is "seventy-two trillion, six hundred thirty-seven billion, six hundred twenty-two million, six hundred seventy-three thousand, six hundred twenty-seven".