72815511316729 has 2 divisors, whose sum is σ = 72815511316730. Its totient is φ = 72815511316728.

The previous prime is 72815511316711. The next prime is 72815511316853. The reversal of 72815511316729 is 92761311551827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72792293785600 + 23217531129 = 8531840^2 + 152373^2 .

It is a cyclic number.

It is not a de Polignac number, because 72815511316729 - 2²³ = 72815502928121 is a prime.

It is not a weakly prime, because it can be changed into another prime (72815511314729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36407755658364 + 36407755658365.

It is an arithmetic number, because the mean of its divisors is an integer number (36407755658365).

Almost surely, 2^{72815511316729} is an apocalyptic number.

It is an amenable number.

72815511316729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72815511316729 is an equidigital number, since it uses as much as digits as its factorization.

72815511316729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6350400, while the sum is 58.

The spelling of 72815511316729 in words is "seventy-two trillion, eight hundred fifteen billion, five hundred eleven million, three hundred sixteen thousand, seven hundred twenty-nine".