71729 has 4 divisors (see below), whose sum is σ = 81984. Its totient is φ = 61476.

The previous prime is 71719. The next prime is 71741. The reversal of 71729 is 92717.

71729 is nontrivially palindromic in base 2.

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.

It is a cyclic number.

It is not a de Polignac number, because 71729 - 2⁴ = 71713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71698 and 71707.

It is not an unprimeable number, because it can be changed into a prime (71719) 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, 5117 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2⁷¹⁷²⁹ is an apocalyptic number.

It is an amenable number.

71729 is a deficient number, since it is larger than the sum of its proper divisors (10255).

71729 is a wasteful number, since it uses less digits than its factorization.

71729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254.

The product of its digits is 882, while the sum is 26.

The square root of 71729 is about 267.8227025478. The cubic root of 71729 is about 41.5494161428.

The spelling of 71729 in words is "seventy-one thousand, seven hundred twenty-nine".