45552 has 40 divisors (see below), whose sum is σ = 128464. Its totient is φ = 13824.

The previous prime is 45541. The next prime is 45553. The reversal of 45552 is 25554.

45552 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 not an unprimeable number, because it can be changed into a prime (45553) by changing a digit.

45552 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, 588 + ... + 660.

2⁴⁵⁵⁵² 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 45552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64232).

45552 is an abundant number, since it is smaller than the sum of its proper divisors (82912).

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

45552 is a wasteful number, since it uses less digits than its factorization.

45552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 1000, while the sum is 21.

The square root of 45552 is about 213.4291451513. The cubic root of 45552 is about 35.7137798024.

The spelling of 45552 in words is "forty-five thousand, five hundred fifty-two".