5791200 has 144 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1451520.

The previous prime is 5791189. The next prime is 5791207. The reversal of 5791200 is 21975.

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 (5791207) 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, 45537 + ... + 45663.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 2^5791200 is an apocalyptic number.

5791200 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 5791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

5791200 is an abundant number, since it is smaller than the sum of its proper divisors (14207520).

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

5791200 is a wasteful number, since it uses less digits than its factorization.

5791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 5791200 is about 2406.4912216752. The cubic root of 5791200 is about 179.5792642433.

It can be divided in two parts, 57 and 91200, that multiplied together give a square (5198400 = 2280²).

The spelling of 5791200 in words is "five million, seven hundred ninety-one thousand, two hundred".