73359 has 32 divisors (see below), whose sum is σ = 134400. Its totient is φ = 38880.

The previous prime is 73351. The next prime is 73361. The reversal of 73359 is 95337.

It is not a de Polignac number, because 73359 - 2³ = 73351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3852 + ... + 3870.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁷³³⁵⁹ is an apocalyptic number.

73359 is a deficient number, since it is larger than the sum of its proper divisors (61041).

73359 is a wasteful number, since it uses less digits than its factorization.

73359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 73359 is about 270.8486662326. The cubic root of 73359 is about 41.8617905911.

The spelling of 73359 in words is "seventy-three thousand, three hundred fifty-nine".