72956379561517 has 2 divisors, whose sum is σ = 72956379561518. Its totient is φ = 72956379561516.

The previous prime is 72956379561509. The next prime is 72956379561553. The reversal of 72956379561517 is 71516597365927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69768365740516 + 3188013821001 = 8352746^2 + 1785501^2 .

It is a cyclic number.

It is not a de Polignac number, because 72956379561517 - 2³ = 72956379561509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72956379561517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72956379561557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36478189780758 + 36478189780759.

It is an arithmetic number, because the mean of its divisors is an integer number (36478189780759).

Almost surely, 2^{72956379561517} is an apocalyptic number.

It is an amenable number.

72956379561517 is a deficient number, since it is larger than the sum of its proper divisors (1).

72956379561517 is an equidigital number, since it uses as much as digits as its factorization.

72956379561517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 750141000, while the sum is 73.

The spelling of 72956379561517 in words is "seventy-two trillion, nine hundred fifty-six billion, three hundred seventy-nine million, five hundred sixty-one thousand, five hundred seventeen".