4472 has 16 divisors (see below), whose sum is σ = 9240. Its totient is φ = 2016.

The previous prime is 4463. The next prime is 4481. The reversal of 4472 is 2744.

It is an interprime number because it is at equal distance from previous prime (4463) and next prime (4481).

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4472.

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 4472.

It is an unprimeable number.

4472 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, 83 + ... + 125.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620).

4472 is an abundant number, since it is smaller than the sum of its proper divisors (4768).

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

4472 is a wasteful number, since it uses less digits than its factorization.

4472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its digits is 224, while the sum is 17.

The square root of 4472 is about 66.8730139892. The cubic root of 4472 is about 16.4753227686.

Adding to 4472 its sum of digits (17), we get a square (4489 = 67²).

Subtracting from 4472 its reverse (2744), we obtain a cube (1728 = 12³).

The spelling of 4472 in words is "four thousand, four hundred seventy-two", and thus it is an iban number.