472532 has 12 divisors (see below), whose sum is σ = 875700. Its totient is φ = 222336.

The previous prime is 472523. The next prime is 472541. The reversal of 472532 is 235274.

It is an interprime number because it is at equal distance from previous prime (472523) and next prime (472541).

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 80656 = 626^2 + 284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 472498 and 472507.

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 472532.

It is an unprimeable number.

472532 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3407 + ... + 3542.

It is an arithmetic number, because the mean of its divisors is an integer number (72975).

2⁴⁷²⁵³² is an apocalyptic number.

It is an amenable number.

472532 is a deficient number, since it is larger than the sum of its proper divisors (403168).

472532 is a wasteful number, since it uses less digits than its factorization.

472532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6968 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 472532 is about 687.4096304242. The cubic root of 472532 is about 77.8891697930.

The spelling of 472532 in words is "four hundred seventy-two thousand, five hundred thirty-two".