72768672497681 has 2 divisors, whose sum is σ = 72768672497682. Its totient is φ = 72768672497680.

The previous prime is 72768672497513. The next prime is 72768672497687. The reversal of 72768672497681 is 18679427686727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62144984137681 + 10623688360000 = 7883209^2 + 3259400^2 .

It is a cyclic number.

It is not a de Polignac number, because 72768672497681 - 2³⁴ = 72751492628497 is a prime.

It is a super-2 number, since 2×72768672497681² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72768672497596 and 72768672497605.

It is not a weakly prime, because it can be changed into another prime (72768672497687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36384336248840 + 36384336248841.

It is an arithmetic number, because the mean of its divisors is an integer number (36384336248841).

Almost surely, 2^{72768672497681} is an apocalyptic number.

It is an amenable number.

72768672497681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72768672497681 is an equidigital number, since it uses as much as digits as its factorization.

72768672497681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4779565056, while the sum is 80.

The spelling of 72768672497681 in words is "seventy-two trillion, seven hundred sixty-eight billion, six hundred seventy-two million, four hundred ninety-seven thousand, six hundred eighty-one".