71876 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 28800.

The previous prime is 71867. The next prime is 71879. The reversal of 71876 is 67817.

It is not an unprimeable number, because it can be changed into a prime (71879) by changing a digit.

71876 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, 401 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁷¹⁸⁷⁶ 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 71876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

71876 is an abundant number, since it is smaller than the sum of its proper divisors (81340).

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

71876 is a wasteful number, since it uses less digits than its factorization.

71876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 2352, while the sum is 29.

The square root of 71876 is about 268.0969973722. The cubic root of 71876 is about 41.5777802937.

The spelling of 71876 in words is "seventy-one thousand, eight hundred seventy-six".