72288533 has 2 divisors, whose sum is σ = 72288534. Its totient is φ = 72288532.

The previous prime is 72288509. The next prime is 72288553. The reversal of 72288533 is 33588227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50367409 + 21921124 = 7097^2 + 4682^2 .

It is a cyclic number.

It is not a de Polignac number, because 72288533 - 2¹⁴ = 72272149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72288553) 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, 36144266 + 36144267.

It is an arithmetic number, because the mean of its divisors is an integer number (36144267).

Almost surely, 2^72288533 is an apocalyptic number.

It is an amenable number.

72288533 is a deficient number, since it is larger than the sum of its proper divisors (1).

72288533 is an equidigital number, since it uses as much as digits as its factorization.

72288533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 38.

The square root of 72288533 is about 8502.2663449224. The cubic root of 72288533 is about 416.5717395126.

The spelling of 72288533 in words is "seventy-two million, two hundred eighty-eight thousand, five hundred thirty-three".