73344 has 32 divisors (see below), whose sum is σ = 195840. Its totient is φ = 24320.

The previous prime is 73331. The next prime is 73351. The reversal of 73344 is 44337.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 73344.

It is a congruent number.

It is an unprimeable number.

73344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

2⁷³³⁴⁴ 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 73344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

73344 is an abundant number, since it is smaller than the sum of its proper divisors (122496).

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

73344 is a wasteful number, since it uses less digits than its factorization.

73344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 73344 is about 270.8209740770. The cubic root of 73344 is about 41.8589371822.

It can be divided in two parts, 733 and 44, that added together give a palindrome (777).

The spelling of 73344 in words is "seventy-three thousand, three hundred forty-four", and thus it is an iban number.