5772200 has 144 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1814400.

The previous prime is 5772199. The next prime is 5772203. The reversal of 5772200 is 22775.

5772200 = 323² + 324² + ... + 370².

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186185 + ... + 186215.

It is an arithmetic number, because the mean of its divisors is an integer number (117800).

Almost surely, 2^5772200 is an apocalyptic number.

5772200 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 5772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5772200 is an abundant number, since it is smaller than the sum of its proper divisors (11191000).

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

5772200 is a wasteful number, since it uses less digits than its factorization.

5772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 5772200 is about 2402.5403222423. The cubic root of 5772200 is about 179.3826588045.

Adding to 5772200 its reverse (22775), we get a palindrome (5794975).

The spelling of 5772200 in words is "five million, seven hundred seventy-two thousand, two hundred".