73165909 has 16 divisors (see below), whose sum is σ = 80036208. Its totient is φ = 66604032.

The previous prime is 73165907. The next prime is 73165931. The reversal of 73165909 is 90956137.

It can be written as a sum of positive squares in 8 ways, for example, as 33097009 + 40068900 = 5753^2 + 6330^2 .

It is a cyclic number.

It is not a de Polignac number, because 73165909 - 2¹ = 73165907 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73165907) 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 in 15 ways as a sum of consecutive naturals, for example, 184099 + ... + 184495.

It is an arithmetic number, because the mean of its divisors is an integer number (5002263).

Almost surely, 2^73165909 is an apocalyptic number.

It is an amenable number.

73165909 is a deficient number, since it is larger than the sum of its proper divisors (6870299).

73165909 is a wasteful number, since it uses less digits than its factorization.

73165909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 51030, while the sum is 40.

The square root of 73165909 is about 8553.7073248972. The cubic root of 73165909 is about 418.2502965120.

It can be divided in two parts, 7316 and 5909, that added together give a square (13225 = 115²).

The spelling of 73165909 in words is "seventy-three million, one hundred sixty-five thousand, nine hundred nine".