72257593 has 2 divisors, whose sum is σ = 72257594. Its totient is φ = 72257592.

The previous prime is 72257579. The next prime is 72257597. The reversal of 72257593 is 39575227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55830784 + 16426809 = 7472^2 + 4053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72257593 is a prime.

It is not a weakly prime, because it can be changed into another prime (72257597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36128796 + 36128797.

It is an arithmetic number, because the mean of its divisors is an integer number (36128797).

Almost surely, 2^72257593 is an apocalyptic number.

It is an amenable number.

72257593 is a deficient number, since it is larger than the sum of its proper divisors (1).

72257593 is an equidigital number, since it uses as much as digits as its factorization.

72257593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 132300, while the sum is 40.

The square root of 72257593 is about 8500.4466353245. The cubic root of 72257593 is about 416.5122991545.

The spelling of 72257593 in words is "seventy-two million, two hundred fifty-seven thousand, five hundred ninety-three".