5723200 has 126 divisors (see below), whose sum is σ = 16606266. Its totient is φ = 1935360.

The previous prime is 5723183. The next prime is 5723209. The reversal of 5723200 is 23275.

It is a happy number.

5723200 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 5271616 = 672^2 + 2296^2 .

It is not an unprimeable number, because it can be changed into a prime (5723209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78364 + ... + 78436.

Almost surely, 2^5723200 is an apocalyptic number.

5723200 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 5723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303133).

5723200 is an abundant number, since it is smaller than the sum of its proper divisors (10883066).

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

5723200 is a wasteful number, since it uses less digits than its factorization.

5723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 5723200 is about 2392.3210486889. The cubic root of 5723200 is about 178.8736246865.

Adding to 5723200 its reverse (23275), we get a palindrome (5746475).

The spelling of 5723200 in words is "five million, seven hundred twenty-three thousand, two hundred".