73765 has 4 divisors (see below), whose sum is σ = 88524. Its totient is φ = 59008.

The previous prime is 73757. The next prime is 73771. The reversal of 73765 is 56737.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 42436 = 177^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 73765 - 2³ = 73757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7372 + ... + 7381.

It is an arithmetic number, because the mean of its divisors is an integer number (22131).

2⁷³⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

73765 is a deficient number, since it is larger than the sum of its proper divisors (14759).

73765 is a wasteful number, since it uses less digits than its factorization.

73765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758.

The product of its digits is 4410, while the sum is 28.

The square root of 73765 is about 271.5971281144. The cubic root of 73765 is about 41.9388755608.

Subtracting from 73765 its sum of digits (28), we obtain a palindrome (73737).

It can be divided in two parts, 7376 and 5, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 73765 in words is "seventy-three thousand, seven hundred sixty-five".