72775009 has 2 divisors, whose sum is σ = 72775010. Its totient is φ = 72775008.

The previous prime is 72774983. The next prime is 72775019. The reversal of 72775009 is 90057727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 1203409 = 8460^2 + 1097^2 .

It is a cyclic number.

It is not a de Polignac number, because 72775009 - 2⁹ = 72774497 is a prime.

It is not a weakly prime, because it can be changed into another prime (72775019) 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, 36387504 + 36387505.

It is an arithmetic number, because the mean of its divisors is an integer number (36387505).

Almost surely, 2^72775009 is an apocalyptic number.

It is an amenable number.

72775009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72775009 is an equidigital number, since it uses as much as digits as its factorization.

72775009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 37.

The square root of 72775009 is about 8530.8269821864. The cubic root of 72775009 is about 417.5041107798.

The spelling of 72775009 in words is "seventy-two million, seven hundred seventy-five thousand, nine".