73335 has 8 divisors (see below), whose sum is σ = 117360. Its totient is φ = 39104.

The previous prime is 73331. The next prime is 73351. The reversal of 73335 is 53337.

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 73335 - 2² = 73331 is a prime.

73335 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73331) 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, 2430 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (14670).

2⁷³³³⁵ is an apocalyptic number.

73335 is a deficient number, since it is larger than the sum of its proper divisors (44025).

73335 is a wasteful number, since it uses less digits than its factorization.

73335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897.

The product of its digits is 945, while the sum is 21.

The square root of 73335 is about 270.8043574243. The cubic root of 73335 is about 41.8572249502.

Subtracting from 73335 its product of digits (945), we obtain a triangular number (72390 = T₃₈₀).

The spelling of 73335 in words is "seventy-three thousand, three hundred thirty-five".