72164446177 has 2 divisors, whose sum is σ = 72164446178. Its totient is φ = 72164446176.

The previous prime is 72164446141. The next prime is 72164446181. The reversal of 72164446177 is 77164446127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47904514641 + 24259931536 = 218871^2 + 155756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72164446177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72164446177.

It is not a weakly prime, because it can be changed into another prime (72164446187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082223088 + 36082223089.

It is an arithmetic number, because the mean of its divisors is an integer number (36082223089).

Almost surely, 2^72164446177 is an apocalyptic number.

It is an amenable number.

72164446177 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164446177 is an equidigital number, since it uses as much as digits as its factorization.

72164446177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1580544, while the sum is 49.

The spelling of 72164446177 in words is "seventy-two billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred seventy-seven".