5227200 has 252 divisors, whose sum is σ = 20944840. Its totient is φ = 1267200.

The previous prime is 5227171. The next prime is 5227219. The reversal of 5227200 is 27225.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 475195 + ... + 475205.

Almost surely, 2^5227200 is an apocalyptic number.

5227200 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 5227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472420).

5227200 is an abundant number, since it is smaller than the sum of its proper divisors (15717640).

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

5227200 is a wasteful number, since it uses less digits than its factorization.

5227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5227200 is about 2286.3070659909. The cubic root of 5227200 is about 173.5493690257.

The spelling of 5227200 in words is "five million, two hundred twenty-seven thousand, two hundred".