432072576 has 256 divisors, whose sum is σ = 1405152000. Its totient is φ = 129890304.

The previous prime is 432072547. The next prime is 432072583. The reversal of 432072576 is 675270234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 432072576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650671 + ... + 2650833.

It is an arithmetic number, because the mean of its divisors is an integer number (5488875).

Almost surely, 2^432072576 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 432072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702576000).

432072576 is an abundant number, since it is smaller than the sum of its proper divisors (973079424).

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

432072576 is a wasteful number, since it uses less digits than its factorization.

432072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 432072576 is about 20786.3555247186. The cubic root of 432072576 is about 755.9949609138.

The spelling of 432072576 in words is "four hundred thirty-two million, seventy-two thousand, five hundred seventy-six".