72573583 has 2 divisors, whose sum is σ = 72573584. Its totient is φ = 72573582.

The previous prime is 72573577. The next prime is 72573619. The reversal of 72573583 is 38537527.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72573583 - 2¹⁷ = 72442511 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72573383) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36286791 + 36286792.

It is an arithmetic number, because the mean of its divisors is an integer number (36286792).

Almost surely, 2^72573583 is an apocalyptic number.

72573583 is a deficient number, since it is larger than the sum of its proper divisors (1).

72573583 is an equidigital number, since it uses as much as digits as its factorization.

72573583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176400, while the sum is 40.

The square root of 72573583 is about 8519.0130296884. The cubic root of 72573583 is about 417.1185668475.

The spelling of 72573583 in words is "seventy-two million, five hundred seventy-three thousand, five hundred eighty-three".