472032 has 72 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 142080.

The previous prime is 472027. The next prime is 472051. The reversal of 472032 is 230274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 471996 and 472014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3094 + ... + 3242.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2⁴⁷²⁰³² 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 472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

472032 is an abundant number, since it is smaller than the sum of its proper divisors (1002168).

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

472032 is a wasteful number, since it uses less digits than its factorization.

472032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 472032 is about 687.0458499984. The cubic root of 472032 is about 77.8616878241.

The spelling of 472032 in words is "four hundred seventy-two thousand, thirty-two".