5257200 has 120 divisors (see below), whose sum is σ = 18189808. Its totient is φ = 1290240.

The previous prime is 5257171. The next prime is 5257201. The reversal of 5257200 is 27525.

5257200 = T₁₉₅ + T₁₉₆ + ... + T₃₃₈.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257201) 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 23 ways as a sum of consecutive naturals, for example, 15432 + ... + 15768.

Almost surely, 2^5257200 is an apocalyptic number.

5257200 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 5257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094904).

5257200 is an abundant number, since it is smaller than the sum of its proper divisors (12932608).

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

5257200 is a wasteful number, since it uses less digits than its factorization.

5257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

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

The square root of 5257200 is about 2292.8584779702. The cubic root of 5257200 is about 173.8807479886.

The spelling of 5257200 in words is "five million, two hundred fifty-seven thousand, two hundred".