772172057 has 2 divisors, whose sum is σ = 772172058. Its totient is φ = 772172056.

The previous prime is 772172041. The next prime is 772172069. The reversal of 772172057 is 750271277.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755370256 + 16801801 = 27484^2 + 4099^2 .

It is a cyclic number.

It is not a de Polignac number, because 772172057 - 2⁴ = 772172041 is a prime.

It is a super-2 number, since 2×772172057² = 1192499371223222498, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 772172057.

It is not a weakly prime, because it can be changed into another prime (772172017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386086028 + 386086029.

It is an arithmetic number, because the mean of its divisors is an integer number (386086029).

Almost surely, 2^772172057 is an apocalyptic number.

It is an amenable number.

772172057 is a deficient number, since it is larger than the sum of its proper divisors (1).

772172057 is an equidigital number, since it uses as much as digits as its factorization.

772172057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48020, while the sum is 38.

The square root of 772172057 is about 27787.9840398687. The cubic root of 772172057 is about 917.4266687253.

The spelling of 772172057 in words is "seven hundred seventy-two million, one hundred seventy-two thousand, fifty-seven".