73209 has 8 divisors (see below), whose sum is σ = 101952. Its totient is φ = 46640.

The previous prime is 73189. The next prime is 73237. The reversal of 73209 is 90237.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73209 - 2⁸ = 72953 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73209.

It is not an unprimeable number, because it can be changed into a prime (73259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (12744).

2⁷³²⁰⁹ is an apocalyptic number.

It is an amenable number.

73209 is a deficient number, since it is larger than the sum of its proper divisors (28743).

73209 is a wasteful number, since it uses less digits than its factorization.

73209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 73209 is about 270.5716171368. The cubic root of 73209 is about 41.8332389784.

It can be divided in two parts, 73 and 209, that added together give a palindrome (282).

The spelling of 73209 in words is "seventy-three thousand, two hundred nine".