72564658871713 has 2 divisors, whose sum is σ = 72564658871714. Its totient is φ = 72564658871712.

The previous prime is 72564658871671. The next prime is 72564658871807. The reversal of 72564658871713 is 31717885646527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53743091817024 + 18821567054689 = 7330968^2 + 4338383^2 .

It is a cyclic number.

It is not a de Polignac number, because 72564658871713 - 2¹⁷ = 72564658740641 is a prime.

It is not a weakly prime, because it can be changed into another prime (72564658871113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36282329435856 + 36282329435857.

It is an arithmetic number, because the mean of its divisors is an integer number (36282329435857).

Almost surely, 2^{72564658871713} is an apocalyptic number.

It is an amenable number.

72564658871713 is a deficient number, since it is larger than the sum of its proper divisors (1).

72564658871713 is an equidigital number, since it uses as much as digits as its factorization.

72564658871713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 474163200, while the sum is 70.

The spelling of 72564658871713 in words is "seventy-two trillion, five hundred sixty-four billion, six hundred fifty-eight million, eight hundred seventy-one thousand, seven hundred thirteen".