432072 has 48 divisors (see below), whose sum is σ = 1242540. Its totient is φ = 135168.

The previous prime is 432067. The next prime is 432073. The reversal of 432072 is 270234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 427716 + 4356 = 654^2 + 66^2 .

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

It is not an unprimeable number, because it can be changed into a prime (432073) by changing a digit.

432072 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 11 ways as a sum of consecutive naturals, for example, 1048 + ... + 1400.

2⁴³²⁰⁷² 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 432072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621270).

432072 is an abundant number, since it is smaller than the sum of its proper divisors (810468).

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

432072 is a wasteful number, since it uses less digits than its factorization.

432072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

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

The square root of 432072 is about 657.3218389800. The cubic root of 432072 is about 75.5994624972.

The spelling of 432072 in words is "four hundred thirty-two thousand, seventy-two".