73257209 has 2 divisors, whose sum is σ = 73257210. Its totient is φ = 73257208.

The previous prime is 73257193. The next prime is 73257221. The reversal of 73257209 is 90275237.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67240000 + 6017209 = 8200^2 + 2453^2 .

It is a cyclic number.

It is not a de Polignac number, because 73257209 - 2⁴ = 73257193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73257259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36628604 + 36628605.

It is an arithmetic number, because the mean of its divisors is an integer number (36628605).

Almost surely, 2^73257209 is an apocalyptic number.

It is an amenable number.

73257209 is a deficient number, since it is larger than the sum of its proper divisors (1).

73257209 is an equidigital number, since it uses as much as digits as its factorization.

73257209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 73257209 is about 8559.0425282271. The cubic root of 73257209 is about 418.4241952582.

The spelling of 73257209 in words is "seventy-three million, two hundred fifty-seven thousand, two hundred nine".