5735200 has 72 divisors (see below), whose sum is σ = 14342832. Its totient is φ = 2238720.

The previous prime is 5735189. The next prime is 5735201. The reversal of 5735200 is 25375.

It is not an unprimeable number, because it can be changed into a prime (5735201) 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, 53547 + ... + 53653.

It is an arithmetic number, because the mean of its divisors is an integer number (199206).

Almost surely, 2^5735200 is an apocalyptic number.

5735200 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 5735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171416).

5735200 is an abundant number, since it is smaller than the sum of its proper divisors (8607632).

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

5735200 is a wasteful number, since it uses less digits than its factorization.

5735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

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

The square root of 5735200 is about 2394.8277599861. The cubic root of 5735200 is about 178.9985539244.

The spelling of 5735200 in words is "five million, seven hundred thirty-five thousand, two hundred".