232032000 has 144 divisors (see below), whose sum is σ = 771013152. Its totient is φ = 61849600.

The previous prime is 232031977. The next prime is 232032007. The reversal of 232032000 is 230232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232032007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94792 + ... + 97208.

It is an arithmetic number, because the mean of its divisors is an integer number (5354258).

Almost surely, 2^232032000 is an apocalyptic number.

232032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385506576).

232032000 is an abundant number, since it is smaller than the sum of its proper divisors (538981152).

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

232032000 is an equidigital number, since it uses as much as digits as its factorization.

232032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232032000 is about 15232.5966269707. The cubic root of 232032000 is about 614.4916150276.

Adding to 232032000 its reverse (230232), we get a palindrome (232262232).

The spelling of 232032000 in words is "two hundred thirty-two million, thirty-two thousand".