45472 has 36 divisors (see below), whose sum is σ = 107730. Its totient is φ = 18816.

The previous prime is 45439. The next prime is 45481. The reversal of 45472 is 27454.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 7056 = 196^2 + 84^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

45472 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 5 ways as a sum of consecutive naturals, for example, 1554 + ... + 1582.

2⁴⁵⁴⁷² 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 45472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53865).

45472 is an abundant number, since it is smaller than the sum of its proper divisors (62258).

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

45472 is a wasteful number, since it uses less digits than its factorization.

45472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 38 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 45472 is about 213.2416469642. The cubic root of 45472 is about 35.6928602921.

It can be divided in two parts, 4 and 5472, that added together give a square (5476 = 74²).

The spelling of 45472 in words is "forty-five thousand, four hundred seventy-two".