71844 has 12 divisors (see below), whose sum is σ = 167664. Its totient is φ = 23944.

The previous prime is 71843. The next prime is 71849. The reversal of 71844 is 44817.

71844 = T₁₃₀ + T₁₃₁ + ... + T₁₃₇.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (71843) 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, 2982 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (13972).

2⁷¹⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

71844 is an abundant number, since it is smaller than the sum of its proper divisors (95820).

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 (83832).

71844 is a wasteful number, since it uses less digits than its factorization.

71844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5992 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 71844 is about 268.0373108356. The cubic root of 71844 is about 41.5716090800.

The spelling of 71844 in words is "seventy-one thousand, eight hundred forty-four".