5755200 has 168 divisors, whose sum is σ = 20787360. Its totient is φ = 1382400.

The previous prime is 5755187. The next prime is 5755207. The reversal of 5755200 is 25575.

It is a Cunningham number, because it is equal to 2399²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755207) 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, 52746 + ... + 52854.

Almost surely, 2^5755200 is an apocalyptic number.

5755200 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 5755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393680).

5755200 is an abundant number, since it is smaller than the sum of its proper divisors (15032160).

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

5755200 is a wasteful number, since it uses less digits than its factorization.

5755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 5755200 is about 2398.9997915798. Note that the first 3 decimals coincide. The cubic root of 5755200 is about 179.2063826383.

It can be divided in two parts, 575 and 5200, that added together give a palindrome (5775).

The spelling of 5755200 in words is "five million, seven hundred fifty-five thousand, two hundred".