5535200 has 144 divisors (see below), whose sum is σ = 16030224. Its totient is φ = 1843200.

The previous prime is 5535199. The next prime is 5535221. The reversal of 5535200 is 25355.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149582 + ... + 149618.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

Almost surely, 2^5535200 is an apocalyptic number.

5535200 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 5535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112).

5535200 is an abundant number, since it is smaller than the sum of its proper divisors (10495024).

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

5535200 is a wasteful number, since it uses less digits than its factorization.

5535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 5535200 is about 2352.7005759340. The cubic root of 5535200 is about 176.8931867493.

The spelling of 5535200 in words is "five million, five hundred thirty-five thousand, two hundred".