71800 has 24 divisors (see below), whose sum is σ = 167400. Its totient is φ = 28640.

The previous prime is 71789. The next prime is 71807. The reversal of 71800 is 817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71807) by changing a digit.

71800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 21 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (6975).

2⁷¹⁸⁰⁰ 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 71800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83700).

71800 is an abundant number, since it is smaller than the sum of its proper divisors (95600).

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

71800 is a wasteful number, since it uses less digits than its factorization.

71800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 71800 is about 267.9552201395. The cubic root of 71800 is about 41.5631206684.

The spelling of 71800 in words is "seventy-one thousand, eight hundred".