77572057 has 2 divisors, whose sum is σ = 77572058. Its totient is φ = 77572056.

The previous prime is 77572051. The next prime is 77572067. The reversal of 77572057 is 75027577.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 6405961 = 8436^2 + 2531^2 .

It is a cyclic number.

It is not a de Polignac number, because 77572057 - 2⁷ = 77571929 is a prime.

It is a super-2 number, since 2×77572057² = 12034848054422498, which contains 22 as substring.

It is a Chen prime.

It is the 8808-th Hogben number.

It is not a weakly prime, because it can be changed into another prime (77572051) by changing a digit.

It is a nontrivial repunit in base 8807.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38786028 + 38786029.

It is an arithmetic number, because the mean of its divisors is an integer number (38786029).

Almost surely, 2^77572057 is an apocalyptic number.

It is an amenable number.

77572057 is a deficient number, since it is larger than the sum of its proper divisors (1).

77572057 is an equidigital number, since it uses as much as digits as its factorization.

77572057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120050, while the sum is 40.

The square root of 77572057 is about 8807.5000425773. The cubic root of 77572057 is about 426.4830440198.

The spelling of 77572057 in words is "seventy-seven million, five hundred seventy-two thousand, fifty-seven".