73865 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 49920.

The previous prime is 73859. The next prime is 73867. The reversal of 73865 is 56837.

73865 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 73865 - 2⁴ = 73849 is a prime.

Its product of digits (5040) is a multiple of the sum of its prime divisors (112).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73865.

It is not an unprimeable number, because it can be changed into a prime (73867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁷³⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

73865 is a deficient number, since it is larger than the sum of its proper divisors (29815).

73865 is a wasteful number, since it uses less digits than its factorization.

73865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 5040, while the sum is 29.

The square root of 73865 is about 271.7811619668. The cubic root of 73865 is about 41.9578185727.

The spelling of 73865 in words is "seventy-three thousand, eight hundred sixty-five".