75753 has 12 divisors (see below), whose sum is σ = 115440. Its totient is φ = 47736.

The previous prime is 75743. The next prime is 75767. The reversal of 75753 is 35757.

It is not a de Polignac number, because 75753 - 2⁵ = 75721 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75753.

It is not an unprimeable number, because it can be changed into a prime (75703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (9620).

2⁷⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

75753 is a deficient number, since it is larger than the sum of its proper divisors (39687).

75753 is a wasteful number, since it uses less digits than its factorization.

75753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 75753 is about 275.2326288796. The cubic root of 75753 is about 42.3122979517.

It can be divided in two parts, 75 and 753, that added together give a palindrome (828).

The spelling of 75753 in words is "seventy-five thousand, seven hundred fifty-three".