5725200 has 120 divisors (see below), whose sum is σ = 19804288. Its totient is φ = 1405440.

The previous prime is 5725193. The next prime is 5725201. The reversal of 5725200 is 25275.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (5725201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15417 + ... + 15783.

Almost surely, 2^5725200 is an apocalyptic number.

5725200 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 5725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902144).

5725200 is an abundant number, since it is smaller than the sum of its proper divisors (14079088).

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

5725200 is a wasteful number, since it uses less digits than its factorization.

5725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5725200 is about 2392.7390162740. The cubic root of 5725200 is about 178.8944583451.

The spelling of 5725200 in words is "five million, seven hundred twenty-five thousand, two hundred".