75711 has 4 divisors (see below), whose sum is σ = 100952. Its totient is φ = 50472.

The previous prime is 75709. The next prime is 75721. The reversal of 75711 is 11757.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 11757 = 3 ⋅3919.

It is not a de Polignac number, because 75711 - 2¹ = 75709 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 12616 + ... + 12621.

It is an arithmetic number, because the mean of its divisors is an integer number (25238).

2⁷⁵⁷¹¹ is an apocalyptic number.

75711 is a deficient number, since it is larger than the sum of its proper divisors (25241).

75711 is a wasteful number, since it uses less digits than its factorization.

75711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25240.

The product of its digits is 245, while the sum is 21.

The square root of 75711 is about 275.1563192078. The cubic root of 75711 is about 42.3044767211.

Subtracting from 75711 its product of digits (245), we obtain a triangular number (75466 = T₃₈₈).

The spelling of 75711 in words is "seventy-five thousand, seven hundred eleven".