73809 has 12 divisors (see below), whose sum is σ = 109200. Its totient is φ = 48024.

The previous prime is 73783. The next prime is 73819. The reversal of 73809 is 90837.

73809 = 2² + 3² + ... + 60².

It is a happy number.

It is not a de Polignac number, because 73809 - 2⁷ = 73681 is a prime.

73809 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73809.

It is not an unprimeable number, because it can be changed into a prime (73819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2⁷³⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

73809 is a deficient number, since it is larger than the sum of its proper divisors (35391).

73809 is a wasteful number, since it uses less digits than its factorization.

73809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73809 is about 271.6781183680. The cubic root of 73809 is about 41.9472125939.

The spelling of 73809 in words is "seventy-three thousand, eight hundred nine".