5047200 has 108 divisors (see below), whose sum is σ = 17823078. Its totient is φ = 1344000.

The previous prime is 5047193. The next prime is 5047213. The reversal of 5047200 is 27405.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4511376 + 535824 = 2124^2 + 732^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 6850 + ... + 7550.

Almost surely, 2^5047200 is an apocalyptic number.

5047200 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 5047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911539).

5047200 is an abundant number, since it is smaller than the sum of its proper divisors (12775878).

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

5047200 is a wasteful number, since it uses less digits than its factorization.

5047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

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

The square root of 5047200 is about 2246.5974272219. The cubic root of 5047200 is about 171.5339827884.

The spelling of 5047200 in words is "five million, forty-seven thousand, two hundred".