72588533 has 2 divisors, whose sum is σ = 72588534. Its totient is φ = 72588532.

The previous prime is 72588517. The next prime is 72588547. The reversal of 72588533 is 33588527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62615569 + 9972964 = 7913^2 + 3158^2 .

It is a cyclic number.

It is not a de Polignac number, because 72588533 - 2⁴ = 72588517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72588833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36294266 + 36294267.

It is an arithmetic number, because the mean of its divisors is an integer number (36294267).

Almost surely, 2^72588533 is an apocalyptic number.

It is an amenable number.

72588533 is a deficient number, since it is larger than the sum of its proper divisors (1).

72588533 is an equidigital number, since it uses as much as digits as its factorization.

72588533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 41.

The square root of 72588533 is about 8519.8904335678. The cubic root of 72588533 is about 417.1472067197.

The spelling of 72588533 in words is "seventy-two million, five hundred eighty-eight thousand, five hundred thirty-three".