72635009 has 2 divisors, whose sum is σ = 72635010. Its totient is φ = 72635008.

The previous prime is 72634997. The next prime is 72635021. The reversal of 72635009 is 90053627.

It is a balanced prime because it is at equal distance from previous prime (72634997) and next prime (72635021).

It can be written as a sum of positive squares in only one way, i.e., 63043600 + 9591409 = 7940^2 + 3097^2 .

It is an emirp because it is prime and its reverse (90053627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72635009 - 2²⁴ = 55857793 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72635029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36317504 + 36317505.

It is an arithmetic number, because the mean of its divisors is an integer number (36317505).

Almost surely, 2^72635009 is an apocalyptic number.

It is an amenable number.

72635009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72635009 is an equidigital number, since it uses as much as digits as its factorization.

72635009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 72635009 is about 8522.6174969900. The cubic root of 72635009 is about 417.2362161751.

The spelling of 72635009 in words is "seventy-two million, six hundred thirty-five thousand, nine".