472572 has 18 divisors (see below), whose sum is σ = 1194648. Its totient is φ = 157512.

The previous prime is 472561. The next prime is 472573. The reversal of 472572 is 275274.

It is a tau number, because it is divible by the number of its divisors (18).

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 472572.

It is not an unprimeable number, because it can be changed into a prime (472573) by changing a digit.

472572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6528 + ... + 6599.

2⁴⁷²⁵⁷² is an apocalyptic number.

It is an amenable number.

472572 is an abundant number, since it is smaller than the sum of its proper divisors (722076).

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

472572 is a wasteful number, since it uses less digits than its factorization.

472572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137 (or 13132 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 472572 is about 687.4387245420. The cubic root of 472572 is about 77.8913675128.

The spelling of 472572 in words is "four hundred seventy-two thousand, five hundred seventy-two".