72335 has 16 divisors (see below), whose sum is σ = 98496. Its totient is φ = 50688.

The previous prime is 72313. The next prime is 72337. The reversal of 72335 is 53327.

It is a cyclic number.

It is not a de Polignac number, because 72335 - 2⁶ = 72271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁷²³³⁵ is an apocalyptic number.

72335 is a deficient number, since it is larger than the sum of its proper divisors (26161).

72335 is a wasteful number, since it uses less digits than its factorization.

72335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 630, while the sum is 20.

The square root of 72335 is about 268.9516685206. The cubic root of 72335 is about 41.6660977700. Note that the first 3 decimals are identical.

The spelling of 72335 in words is "seventy-two thousand, three hundred thirty-five".