5527200 has 216 divisors, whose sum is σ = 21373632. Its totient is φ = 1236480.

The previous prime is 5527189. The next prime is 5527213. The reversal of 5527200 is 27255.

It is a Cunningham number, because it is equal to 2351²-1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117577 + ... + 117623.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^5527200 is an apocalyptic number.

5527200 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 5527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

5527200 is an abundant number, since it is smaller than the sum of its proper divisors (15846432).

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

5527200 is a wasteful number, since it uses less digits than its factorization.

5527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5527200 is about 2350.9997873245. Note that the first 3 decimals coincide. The cubic root of 5527200 is about 176.8079246804.

Subtracting from 5527200 its reverse (27255), we obtain a palindrome (5499945).

The spelling of 5527200 in words is "five million, five hundred twenty-seven thousand, two hundred".