73395 has 24 divisors (see below), whose sum is σ = 146016. Its totient is φ = 33408.

The previous prime is 73387. The next prime is 73417. The reversal of 73395 is 59337.

It is not a de Polignac number, because 73395 - 2³ = 73387 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73395.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

2⁷³³⁹⁵ is an apocalyptic number.

73395 is a deficient number, since it is larger than the sum of its proper divisors (72621).

73395 is a wasteful number, since it uses less digits than its factorization.

73395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

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

The square root of 73395 is about 270.9151158573. The cubic root of 73395 is about 41.8686371858.

It can be divided in two parts, 733 and 95, that added together give a palindrome (828).

The spelling of 73395 in words is "seventy-three thousand, three hundred ninety-five".