10327200 has 144 divisors (see below), whose sum is σ = 36310176. Its totient is φ = 2534400.

The previous prime is 10327193. The next prime is 10327201. The reversal of 10327200 is 272301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10327200.

It is not an unprimeable number, because it can be changed into a prime (10327201) 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, 31035 + ... + 31365.

It is an arithmetic number, because the mean of its divisors is an integer number (252154).

Almost surely, 2^10327200 is an apocalyptic number.

10327200 is a gapful number since it is divisible by the number (10) 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 10327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155088).

10327200 is an abundant number, since it is smaller than the sum of its proper divisors (25982976).

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

10327200 is a wasteful number, since it uses less digits than its factorization.

10327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10327200 is about 3213.5961165025. The cubic root of 10327200 is about 217.7680668846.

Adding to 10327200 its reverse (272301), we get a palindrome (10599501).

The spelling of 10327200 in words is "ten million, three hundred twenty-seven thousand, two hundred".