32023200 has 144 divisors (see below), whose sum is σ = 113805216. Its totient is φ = 7756800.

The previous prime is 32023181. The next prime is 32023207. The reversal of 32023200 is 232023.

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

It is not an unprimeable number, because it can be changed into a prime (32023207) 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, 25794 + ... + 27006.

It is an arithmetic number, because the mean of its divisors is an integer number (790314).

Almost surely, 2^32023200 is an apocalyptic number.

32023200 is a gapful number since it is divisible by the number (30) 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 32023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56902608).

32023200 is an abundant number, since it is smaller than the sum of its proper divisors (81782016).

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

32023200 is a wasteful number, since it uses less digits than its factorization.

32023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1234 counting only the distinct ones).

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

The square root of 32023200 is about 5658.9044876195. The cubic root of 32023200 is about 317.5569162436.

Adding to 32023200 its reverse (232023), we get a palindrome (32255223).

It can be divided in two parts, 32023 and 200, that added together give a palindrome (32223).

The spelling of 32023200 in words is "thirty-two million, twenty-three thousand, two hundred".