5507200 has 48 divisors (see below), whose sum is σ = 13612410. Its totient is φ = 2201600.

The previous prime is 5507179. The next prime is 5507209. The reversal of 5507200 is 27055.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4631104 + 876096 = 2152^2 + 936^2 .

It is not an unprimeable number, because it can be changed into a prime (5507209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2340 + ... + 4060.

Almost surely, 2^5507200 is an apocalyptic number.

5507200 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 5507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806205).

5507200 is an abundant number, since it is smaller than the sum of its proper divisors (8105210).

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

5507200 is a wasteful number, since it uses less digits than its factorization.

5507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 5507200 is about 2346.7424230196. The cubic root of 5507200 is about 176.5944089613.

It can be divided in two parts, 550 and 7200, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 5507200 in words is "five million, five hundred seven thousand, two hundred".