5287200 has 72 divisors (see below), whose sum is σ = 17217648. Its totient is φ = 1409280.

The previous prime is 5287199. The next prime is 5287201. The reversal of 5287200 is 27825.

It is an interprime number because it is at equal distance from previous prime (5287199) and next prime (5287201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5287201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1299 + ... + 3501.

It is an arithmetic number, because the mean of its divisors is an integer number (239134).

Almost surely, 2^5287200 is an apocalyptic number.

5287200 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 5287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608824).

5287200 is an abundant number, since it is smaller than the sum of its proper divisors (11930448).

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

5287200 is a wasteful number, since it uses less digits than its factorization.

5287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5287200 is about 2299.3912237808. The cubic root of 5287200 is about 174.2108686703.

The spelling of 5287200 in words is "five million, two hundred eighty-seven thousand, two hundred".