72585533 has 2 divisors, whose sum is σ = 72585534. Its totient is φ = 72585532.

The previous prime is 72585523. The next prime is 72585551. The reversal of 72585533 is 33558527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51222649 + 21362884 = 7157^2 + 4622^2 .

It is a cyclic number.

It is not a de Polignac number, because 72585533 - 2⁸ = 72585277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72585503) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36292766 + 36292767.

It is an arithmetic number, because the mean of its divisors is an integer number (36292767).

Almost surely, 2^72585533 is an apocalyptic number.

It is an amenable number.

72585533 is a deficient number, since it is larger than the sum of its proper divisors (1).

72585533 is an equidigital number, since it uses as much as digits as its factorization.

72585533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 38.

The square root of 72585533 is about 8519.7143731466. The cubic root of 72585533 is about 417.1414599036.

The spelling of 72585533 in words is "seventy-two million, five hundred eighty-five thousand, five hundred thirty-three".