71944 has 24 divisors (see below), whose sum is σ = 149310. Its totient is φ = 32384.

The previous prime is 71941. The next prime is 71947. The reversal of 71944 is 44917.

It is an interprime number because it is at equal distance from previous prime (71941) and next prime (71947).

It can be written as a sum of positive squares in only one way, i.e., 52900 + 19044 = 230^2 + 138^2 .

Its product of digits (1008) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3117 + ... + 3139.

2⁷¹⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

71944 is an abundant number, since it is smaller than the sum of its proper divisors (77366).

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 (74655).

71944 is a wasteful number, since it uses less digits than its factorization.

71944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 71944 is about 268.2237871629. The cubic root of 71944 is about 41.5908880437.

The spelling of 71944 in words is "seventy-one thousand, nine hundred forty-four".