72712262067157 has 2 divisors, whose sum is σ = 72712262067158. Its totient is φ = 72712262067156.

The previous prime is 72712262067149. The next prime is 72712262067199. The reversal of 72712262067157 is 75176026221727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66510125079876 + 6202136987281 = 8155374^2 + 2490409^2 .

It is a cyclic number.

It is not a de Polignac number, because 72712262067157 - 2³ = 72712262067149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72712262067098 and 72712262067107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72712262061157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356131033578 + 36356131033579.

It is an arithmetic number, because the mean of its divisors is an integer number (36356131033579).

Almost surely, 2^{72712262067157} is an apocalyptic number.

It is an amenable number.

72712262067157 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712262067157 is an equidigital number, since it uses as much as digits as its factorization.

72712262067157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6914880, while the sum is 55.

The spelling of 72712262067157 in words is "seventy-two trillion, seven hundred twelve billion, two hundred sixty-two million, sixty-seven thousand, one hundred fifty-seven".