432240072 has 96 divisors (see below), whose sum is σ = 1194510240. Its totient is φ = 130240000.

The previous prime is 432240043. The next prime is 432240097. The reversal of 432240072 is 270042234.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728608 + ... + 729200.

It is an arithmetic number, because the mean of its divisors is an integer number (12442815).

Almost surely, 2^432240072 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 432240072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597255120).

432240072 is an abundant number, since it is smaller than the sum of its proper divisors (762270168).

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

432240072 is a wasteful number, since it uses less digits than its factorization.

432240072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 432240072 is about 20790.3841234355. The cubic root of 432240072 is about 756.0926372302.

The spelling of 432240072 in words is "four hundred thirty-two million, two hundred forty thousand, seventy-two".