44352 has 84 divisors (see below), whose sum is σ = 158496. Its totient is φ = 11520.

The previous prime is 44351. The next prime is 44357. The reversal of 44352 is 25344.

Added to its reverse (25344) it gives a square (69696 = 264²).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44351) 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, 4027 + ... + 4037.

2⁴⁴³⁵² is an apocalyptic number.

44352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79248).

44352 is an abundant number, since it is smaller than the sum of its proper divisors (114144).

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

44352 is a wasteful number, since it uses less digits than its factorization.

44352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 23 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 44352 is about 210.5991452974. The cubic root of 44352 is about 35.3973760384.

Adding to 44352 its reverse (25344), we get a palindrome (69696).

It can be divided in two parts, 4 and 4352, that added together give a square (4356 = 66²).

The spelling of 44352 in words is "forty-four thousand, three hundred fifty-two".