71724 has 24 divisors (see below), whose sum is σ = 172480. Its totient is φ = 23184.

The previous prime is 71719. The next prime is 71741. The reversal of 71724 is 42717.

It is a self number, because there is not a number n which added to its sum of digits gives 71724.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 585.

2⁷¹⁷²⁴ is an apocalyptic number.

It is an amenable number.

71724 is an abundant number, since it is smaller than the sum of its proper divisors (100756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86240).

71724 is a wasteful number, since it uses less digits than its factorization.

71724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 71724 is about 267.8133678516. The cubic root of 71724 is about 41.5484506946.

It can be divided in two parts, 717 and 24, that added together give a triangular number (741 = T₃₈).

The spelling of 71724 in words is "seventy-one thousand, seven hundred twenty-four", and thus it is an iban number.