75713 has 4 divisors (see below), whose sum is σ = 82608. Its totient is φ = 68820.

The previous prime is 75709. The next prime is 75721. The reversal of 75713 is 31757.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31757 = 11 ⋅2887.

It is a cyclic number.

It is not a de Polignac number, because 75713 - 2² = 75709 is a prime.

It is a Duffinian number.

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 3 ways as a sum of consecutive naturals, for example, 3431 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (20652).

2⁷⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

75713 is a deficient number, since it is larger than the sum of its proper divisors (6895).

75713 is a wasteful number, since it uses less digits than its factorization.

75713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894.

The product of its digits is 735, while the sum is 23.

The square root of 75713 is about 275.1599534816. The cubic root of 75713 is about 42.3048492262.

Subtracting from 75713 its reverse (31757), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 75713 in words is "seventy-five thousand, seven hundred thirteen".