72271967072681 has 2 divisors, whose sum is σ = 72271967072682. Its totient is φ = 72271967072680.

The previous prime is 72271967072639. The next prime is 72271967072783. The reversal of 72271967072681 is 18627076917227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42860380742656 + 29411586330025 = 6546784^2 + 5423245^2 .

It is a cyclic number.

It is not a de Polignac number, because 72271967072681 - 2¹⁴ = 72271967056297 is a prime.

It is a super-2 number, since 2×72271967072681² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72271967092681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36135983536340 + 36135983536341.

It is an arithmetic number, because the mean of its divisors is an integer number (36135983536341).

Almost surely, 2^{72271967072681} is an apocalyptic number.

It is an amenable number.

72271967072681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72271967072681 is an equidigital number, since it uses as much as digits as its factorization.

72271967072681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49787136, while the sum is 65.

The spelling of 72271967072681 in words is "seventy-two trillion, two hundred seventy-one billion, nine hundred sixty-seven million, seventy-two thousand, six hundred eighty-one".