71988 has 24 divisors (see below), whose sum is σ = 192192. Its totient is φ = 20544.

The previous prime is 71987. The next prime is 71993. The reversal of 71988 is 88917.

71988 is nontrivially palindromic in base 11.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁷¹⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

71988 is an abundant number, since it is smaller than the sum of its proper divisors (120204).

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 (96096).

71988 is a wasteful number, since it uses less digits than its factorization.

71988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 71988 is about 268.3057956884. The cubic root of 71988 is about 41.5993651284.

The spelling of 71988 in words is "seventy-one thousand, nine hundred eighty-eight".