75723 has 8 divisors (see below), whose sum is σ = 103488. Its totient is φ = 49224.

The previous prime is 75721. The next prime is 75731. The reversal of 75723 is 32757.

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

It is not a de Polignac number, because 75723 - 2¹ = 75721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75693 and 75702.

It is not an unprimeable number, because it can be changed into a prime (75721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2⁷⁵⁷²³ is an apocalyptic number.

75723 is a deficient number, since it is larger than the sum of its proper divisors (27765).

75723 is a wasteful number, since it uses less digits than its factorization.

75723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633.

The product of its digits is 1470, while the sum is 24.

The square root of 75723 is about 275.1781241305. The cubic root of 75723 is about 42.3067116535.

It can be divided in two parts, 757 and 23, that added together give a triangular number (780 = T₃₉).

The spelling of 75723 in words is "seventy-five thousand, seven hundred twenty-three".