72125057 has 2 divisors, whose sum is σ = 72125058. Its totient is φ = 72125056.

The previous prime is 72125041. The next prime is 72125069. The reversal of 72125057 is 75052127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63504961 + 8620096 = 7969^2 + 2936^2 .

It is a cyclic number.

It is not a de Polignac number, because 72125057 - 2⁴ = 72125041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72125017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36062528 + 36062529.

It is an arithmetic number, because the mean of its divisors is an integer number (36062529).

Almost surely, 2^72125057 is an apocalyptic number.

It is an amenable number.

72125057 is a deficient number, since it is larger than the sum of its proper divisors (1).

72125057 is an equidigital number, since it uses as much as digits as its factorization.

72125057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 72125057 is about 8492.6472315763. The cubic root of 72125057 is about 416.2574855192.

The spelling of 72125057 in words is "seventy-two million, one hundred twenty-five thousand, fifty-seven".