72971640593 has 2 divisors, whose sum is σ = 72971640594. Its totient is φ = 72971640592.

The previous prime is 72971640563. The next prime is 72971640613. The reversal of 72971640593 is 39504617927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53198499904 + 19773140689 = 230648^2 + 140617^2 .

It is an emirp because it is prime and its reverse (39504617927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72971640593 - 2⁸ = 72971640337 is a prime.

It is not a weakly prime, because it can be changed into another prime (72971640563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36485820296 + 36485820297.

It is an arithmetic number, because the mean of its divisors is an integer number (36485820297).

Almost surely, 2^72971640593 is an apocalyptic number.

It is an amenable number.

72971640593 is a deficient number, since it is larger than the sum of its proper divisors (1).

72971640593 is an equidigital number, since it uses as much as digits as its factorization.

72971640593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 72971640593 in words is "seventy-two billion, nine hundred seventy-one million, six hundred forty thousand, five hundred ninety-three".