72833609 has 2 divisors, whose sum is σ = 72833610. Its totient is φ = 72833608.

The previous prime is 72833599. The next prime is 72833639. The reversal of 72833609 is 90633827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55428025 + 17405584 = 7445^2 + 4172^2 .

It is a cyclic number.

It is not a de Polignac number, because 72833609 - 2²⁴ = 56056393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72833639) 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, 36416804 + 36416805.

It is an arithmetic number, because the mean of its divisors is an integer number (36416805).

Almost surely, 2^72833609 is an apocalyptic number.

It is an amenable number.

72833609 is a deficient number, since it is larger than the sum of its proper divisors (1).

72833609 is an equidigital number, since it uses as much as digits as its factorization.

72833609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 72833609 is about 8534.2608935982. The cubic root of 72833609 is about 417.6161418070.

The spelling of 72833609 in words is "seventy-two million, eight hundred thirty-three thousand, six hundred nine".