72810593 has 2 divisors, whose sum is σ = 72810594. Its totient is φ = 72810592.

The previous prime is 72810581. The next prime is 72810613. The reversal of 72810593 is 39501827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54346384 + 18464209 = 7372^2 + 4297^2 .

It is a cyclic number.

It is not a de Polignac number, because 72810593 - 2¹⁴ = 72794209 is a prime.

It is not a weakly prime, because it can be changed into another prime (72810553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36405296 + 36405297.

It is an arithmetic number, because the mean of its divisors is an integer number (36405297).

Almost surely, 2^72810593 is an apocalyptic number.

It is an amenable number.

72810593 is a deficient number, since it is larger than the sum of its proper divisors (1).

72810593 is an equidigital number, since it uses as much as digits as its factorization.

72810593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 72810593 is about 8532.9123398755. The cubic root of 72810593 is about 417.5721471645.

The spelling of 72810593 in words is "seventy-two million, eight hundred ten thousand, five hundred ninety-three".