71727 has 4 divisors (see below), whose sum is σ = 95640. Its totient is φ = 47816.

The previous prime is 71719. The next prime is 71741. The reversal of 71727 is 72717.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72717 = 3 ⋅24239.

It is a cyclic number.

It is not a de Polignac number, because 71727 - 2³ = 71719 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 71697 and 71706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71727.

It is not an unprimeable number, because it can be changed into a prime (71707) 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, 11952 + ... + 11957.

It is an arithmetic number, because the mean of its divisors is an integer number (23910).

2⁷¹⁷²⁷ is an apocalyptic number.

71727 is a deficient number, since it is larger than the sum of its proper divisors (23913).

71727 is a wasteful number, since it uses less digits than its factorization.

71727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23912.

The product of its digits is 686, while the sum is 24.

The square root of 71727 is about 267.8189687083. The cubic root of 71727 is about 41.5490299689.

Subtracting 71727 from its reverse (72717), we obtain a triangular number (990 = T₄₄).

The spelling of 71727 in words is "seventy-one thousand, seven hundred twenty-seven", and thus it is an iban number.