5357200 has 60 divisors (see below), whose sum is σ = 13146480. Its totient is φ = 2097280.

The previous prime is 5357197. The next prime is 5357207. The reversal of 5357200 is 27535.

It is not an unprimeable number, because it can be changed into a prime (5357207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23487 + ... + 23713.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 2^5357200 is an apocalyptic number.

5357200 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 5357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

5357200 is an abundant number, since it is smaller than the sum of its proper divisors (7789280).

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

5357200 is a wasteful number, since it uses less digits than its factorization.

5357200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 5357200 is about 2314.5625936665. The cubic root of 5357200 is about 174.9763233274.

The spelling of 5357200 in words is "five million, three hundred fifty-seven thousand, two hundred".