73944 has 48 divisors (see below), whose sum is σ = 218400. Its totient is φ = 22464.

The previous prime is 73943. The next prime is 73951. The reversal of 73944 is 44937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

2⁷³⁹⁴⁴ 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 73944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109200).

73944 is an abundant number, since it is smaller than the sum of its proper divisors (144456).

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

73944 is a wasteful number, since it uses less digits than its factorization.

73944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 73944 is about 271.9264606470. The cubic root of 73944 is about 41.9727714672.

The spelling of 73944 in words is "seventy-three thousand, nine hundred forty-four".