5531200 has 42 divisors (see below), whose sum is σ = 13614146. Its totient is φ = 2211840.

The previous prime is 5531173. The next prime is 5531209. The reversal of 5531200 is 21355.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 5494336 = 192^2 + 2344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5531209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129 + ... + 3328.

Almost surely, 2^5531200 is an apocalyptic number.

5531200 is a gapful number since it is divisible by the number (50) 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 5531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807073).

5531200 is an abundant number, since it is smaller than the sum of its proper divisors (8082946).

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

5531200 is a wasteful number, since it uses less digits than its factorization.

5531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5531200 is about 2351.8503353743. The cubic root of 5531200 is about 176.8505659914.

Adding to 5531200 its reverse (21355), we get a palindrome (5552555).

The spelling of 5531200 in words is "five million, five hundred thirty-one thousand, two hundred".