5713200 has 180 divisors, whose sum is σ = 21257320. Its totient is φ = 1457280.

The previous prime is 5713181. The next prime is 5713217. The reversal of 5713200 is 23175.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 248389 + ... + 248411.

Almost surely, 2^5713200 is an apocalyptic number.

5713200 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 5713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628660).

5713200 is an abundant number, since it is smaller than the sum of its proper divisors (15544120).

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

5713200 is a wasteful number, since it uses less digits than its factorization.

5713200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5713200 is about 2390.2301144451. The cubic root of 5713200 is about 178.7693835240.

Adding to 5713200 its reverse (23175), we get a palindrome (5736375).

The spelling of 5713200 in words is "five million, seven hundred thirteen thousand, two hundred".