72511128289937 has 2 divisors, whose sum is σ = 72511128289938. Its totient is φ = 72511128289936.

The previous prime is 72511128289921. The next prime is 72511128289991. The reversal of 72511128289937 is 73998282111527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51921305454736 + 20589822835201 = 7205644^2 + 4537601^2 .

It is an emirp because it is prime and its reverse (73998282111527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72511128289937 - 2⁴ = 72511128289921 is a prime.

It is not a weakly prime, because it can be changed into another prime (72511128289637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36255564144968 + 36255564144969.

It is an arithmetic number, because the mean of its divisors is an integer number (36255564144969).

Almost surely, 2^{72511128289937} is an apocalyptic number.

It is an amenable number.

72511128289937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72511128289937 is an equidigital number, since it uses as much as digits as its factorization.

72511128289937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30481920, while the sum is 65.

The spelling of 72511128289937 in words is "seventy-two trillion, five hundred eleven billion, one hundred twenty-eight million, two hundred eighty-nine thousand, nine hundred thirty-seven".