71984 has 20 divisors (see below), whose sum is σ = 152520. Its totient is φ = 32640.

The previous prime is 71983. The next prime is 71987. The reversal of 71984 is 48917.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71984.

It is not an unprimeable number, because it can be changed into a prime (71983) 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, 29 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (7626).

2⁷¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

71984 is an abundant number, since it is smaller than the sum of its proper divisors (80536).

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 (76260).

71984 is a wasteful number, since it uses less digits than its factorization.

71984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 71984 is about 268.2983414037. The cubic root of 71984 is about 41.5985946271.

It can be divided in two parts, 7 and 1984, that added together give a palindrome (1991).

The spelling of 71984 in words is "seventy-one thousand, nine hundred eighty-four".