71982 has 32 divisors (see below), whose sum is σ = 168960. Its totient is φ = 22680.

The previous prime is 71971. The next prime is 71983. The reversal of 71982 is 28917.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71983) by changing a digit.

71982 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 15 ways as a sum of consecutive naturals, for example, 1653 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

2⁷¹⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84480).

71982 is an abundant number, since it is smaller than the sum of its proper divisors (96978).

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

71982 is a wasteful number, since it uses less digits than its factorization.

71982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 71982 is about 268.2946141837. The cubic root of 71982 is about 41.5982093657.

The spelling of 71982 in words is "seventy-one thousand, nine hundred eighty-two".