73509 has 8 divisors (see below), whose sum is σ = 99360. Its totient is φ = 48336.

The previous prime is 73483. The next prime is 73517. The reversal of 73509 is 90537.

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

It is not a de Polignac number, because 73509 - 2⁵ = 73477 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (12420).

2⁷³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

73509 is a deficient number, since it is larger than the sum of its proper divisors (25851).

73509 is a wasteful number, since it uses less digits than its factorization.

73509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 73509 is about 271.1254322265. The cubic root of 73509 is about 41.8903033099.

The spelling of 73509 in words is "seventy-three thousand, five hundred nine".