72531516017627 has 2 divisors, whose sum is σ = 72531516017628. Its totient is φ = 72531516017626.

The previous prime is 72531516017581. The next prime is 72531516017693. The reversal of 72531516017627 is 72671061513527.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72531516017627 is a prime.

It is a super-2 number, since 2×72531516017627² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72531516007627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36265758008813 + 36265758008814.

It is an arithmetic number, because the mean of its divisors is an integer number (36265758008814).

Almost surely, 2^{72531516017627} is an apocalyptic number.

72531516017627 is a deficient number, since it is larger than the sum of its proper divisors (1).

72531516017627 is an equidigital number, since it uses as much as digits as its factorization.

72531516017627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3704400, while the sum is 53.

The spelling of 72531516017627 in words is "seventy-two trillion, five hundred thirty-one billion, five hundred sixteen million, seventeen thousand, six hundred twenty-seven".