72350009 has 2 divisors, whose sum is σ = 72350010. Its totient is φ = 72350008.

The previous prime is 72349993. The next prime is 72350027. The reversal of 72350009 is 90005327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60295225 + 12054784 = 7765^2 + 3472^2 .

It is a cyclic number.

It is not a de Polignac number, because 72350009 - 2⁴ = 72349993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72350009.

It is not a weakly prime, because it can be changed into another prime (72350039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36175004 + 36175005.

It is an arithmetic number, because the mean of its divisors is an integer number (36175005).

Almost surely, 2^72350009 is an apocalyptic number.

It is an amenable number.

72350009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72350009 is an equidigital number, since it uses as much as digits as its factorization.

72350009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 72350009 is about 8505.8808479781. The cubic root of 72350009 is about 416.6897937741.

The spelling of 72350009 in words is "seventy-two million, three hundred fifty thousand, nine".