432686072 has 96 divisors (see below), whose sum is σ = 1023865920. Its totient is φ = 169908480.

The previous prime is 432686071. The next prime is 432686083. The reversal of 432686072 is 270686234.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432686071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003697 + ... + 1004127.

It is an arithmetic number, because the mean of its divisors is an integer number (10665270).

Almost surely, 2^432686072 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 432686072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511932960).

432686072 is an abundant number, since it is smaller than the sum of its proper divisors (591179848).

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

432686072 is a wasteful number, since it uses less digits than its factorization.

432686072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 432686072 is about 20801.1074705170. The cubic root of 432686072 is about 756.3526018659.

The spelling of 432686072 in words is "four hundred thirty-two million, six hundred eighty-six thousand, seventy-two".