72785023177 has 2 divisors, whose sum is σ = 72785023178. Its totient is φ = 72785023176.

The previous prime is 72785023079. The next prime is 72785023183. The reversal of 72785023177 is 77132058727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70963099321 + 1821923856 = 266389^2 + 42684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72785023177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72785023177.

It is not a weakly prime, because it can be changed into another prime (72785023477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36392511588 + 36392511589.

It is an arithmetic number, because the mean of its divisors is an integer number (36392511589).

Almost surely, 2^72785023177 is an apocalyptic number.

It is an amenable number.

72785023177 is a deficient number, since it is larger than the sum of its proper divisors (1).

72785023177 is an equidigital number, since it uses as much as digits as its factorization.

72785023177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152480, while the sum is 49.

The spelling of 72785023177 in words is "seventy-two billion, seven hundred eighty-five million, twenty-three thousand, one hundred seventy-seven".