45372 has 24 divisors (see below), whose sum is σ = 112000. Its totient is φ = 14256.

The previous prime is 45361. The next prime is 45377. The reversal of 45372 is 27354.

It is a happy number.

45372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45372.

It is not an unprimeable number, because it can be changed into a prime (45377) by changing a digit.

45372 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 7 ways as a sum of consecutive naturals, for example, 129 + ... + 327.

2⁴⁵³⁷² 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 45372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56000).

45372 is an abundant number, since it is smaller than the sum of its proper divisors (66628).

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

45372 is a wasteful number, since it uses less digits than its factorization.

45372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 45372 is about 213.0070421371. The cubic root of 45372 is about 35.6666763715. Note that the first 4 decimals are identical.

It can be divided in two parts, 453 and 72, that added together give a palindrome (525).

The spelling of 45372 in words is "forty-five thousand, three hundred seventy-two".