42327200 has 72 divisors (see below), whose sum is σ = 104298012. Its totient is φ = 16773120.

The previous prime is 42327191. The next prime is 42327209. The reversal of 42327200 is 272324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42327191) and next prime (42327209).

It can be written as a sum of positive squares in 6 ways, for example, as 6948496 + 35378704 = 2636^2 + 5948^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42327209) 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 11 ways as a sum of consecutive naturals, for example, 125432 + ... + 125768.

Almost surely, 2^42327200 is an apocalyptic number.

42327200 is a gapful number since it is divisible by the number (40) 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 42327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52149006).

42327200 is an abundant number, since it is smaller than the sum of its proper divisors (61970812).

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

42327200 is a wasteful number, since it uses less digits than its factorization.

42327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 42327200 is about 6505.9357512967. The cubic root of 42327200 is about 348.5029939493.

Adding to 42327200 its reverse (272324), we get a palindrome (42599524).

It can be divided in two parts, 4232 and 7200, that multiplied together give a square (30470400 = 5520²).

The spelling of 42327200 in words is "forty-two million, three hundred twenty-seven thousand, two hundred".