432972 has 48 divisors (see below), whose sum is σ = 1187200. Its totient is φ = 136080.

The previous prime is 432961. The next prime is 432979. The reversal of 432972 is 279234.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

432972 is a modest number, since divided by 972 gives 432 as remainder.

It is not an unprimeable number, because it can be changed into a prime (432979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947 + ... + 2157.

432972 is a Friedman number, since it can be written as (94*7)^2+2^3, using all its digits and the basic arithmetic operations.

2⁴³²⁹⁷² 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 432972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593600).

432972 is an abundant number, since it is smaller than the sum of its proper divisors (754228).

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

432972 is a wasteful number, since it uses less digits than its factorization.

432972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 432972 is about 658.0060789993. The cubic root of 432972 is about 75.6519169717.

It can be divided in two parts, 432 and 972, that multiplied together give a square (419904 = 648²).

The spelling of 432972 in words is "four hundred thirty-two thousand, nine hundred seventy-two".