72766009 has 2 divisors, whose sum is σ = 72766010. Its totient is φ = 72766008.

The previous prime is 72766003. The next prime is 72766039. The reversal of 72766009 is 90066727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48608784 + 24157225 = 6972^2 + 4915^2 .

It is an emirp because it is prime and its reverse (90066727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72766009 - 2⁵ = 72765977 is a prime.

It is not a weakly prime, because it can be changed into another prime (72766003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36383004 + 36383005.

It is an arithmetic number, because the mean of its divisors is an integer number (36383005).

Almost surely, 2^72766009 is an apocalyptic number.

It is an amenable number.

72766009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72766009 is an equidigital number, since it uses as much as digits as its factorization.

72766009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 72766009 is about 8530.2994671934. The cubic root of 72766009 is about 417.4868993224.

The spelling of 72766009 in words is "seventy-two million, seven hundred sixty-six thousand, nine".