75765 has 8 divisors (see below), whose sum is σ = 121248. Its totient is φ = 40400.

The previous prime is 75743. The next prime is 75767. The reversal of 75765 is 56757.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 75765 - 2⁹ = 75253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75767) 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, 2511 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (15156).

2⁷⁵⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

75765 is a deficient number, since it is larger than the sum of its proper divisors (45483).

75765 is a wasteful number, since it uses less digits than its factorization.

75765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059.

The product of its digits is 7350, while the sum is 30.

The square root of 75765 is about 275.2544277573. The cubic root of 75765 is about 42.3145320580.

It can be divided in two parts, 75 and 765, that multiplied together give a palindrome (57375).

The spelling of 75765 in words is "seventy-five thousand, seven hundred sixty-five".