71688 has 32 divisors (see below), whose sum is σ = 187200. Its totient is φ = 22848.

The previous prime is 71671. The next prime is 71693. The reversal of 71688 is 88617.

It is an unprimeable number.

71688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2⁷¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

71688 is an abundant number, since it is smaller than the sum of its proper divisors (115512).

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

71688 is a wasteful number, since it uses less digits than its factorization.

71688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 71688 is about 267.7461484317. The cubic root of 71688 is about 41.5414981425.

The spelling of 71688 in words is "seventy-one thousand, six hundred eighty-eight".