71880 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 19136.

The previous prime is 71879. The next prime is 71881. The reversal of 71880 is 8817.

It is an interprime number because it is at equal distance from previous prime (71879) and next prime (71881).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71880.

It is not an unprimeable number, because it can be changed into a prime (71881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁷¹⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

71880 is an abundant number, since it is smaller than the sum of its proper divisors (144120).

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 (108000).

71880 is a wasteful number, since it uses less digits than its factorization.

71880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 71880 is about 268.1044572550. The cubic root of 71880 is about 41.5785515666.

The spelling of 71880 in words is "seventy-one thousand, eight hundred eighty".