5759200 has 72 divisors (see below), whose sum is σ = 14717808. Its totient is φ = 2196480.

The previous prime is 5759191. The next prime is 5759203. The reversal of 5759200 is 29575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759203) 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 11 ways as a sum of consecutive naturals, for example, 18244 + ... + 18556.

It is an arithmetic number, because the mean of its divisors is an integer number (204414).

Almost surely, 2^5759200 is an apocalyptic number.

5759200 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 5759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358904).

5759200 is an abundant number, since it is smaller than the sum of its proper divisors (8958608).

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

5759200 is a wasteful number, since it uses less digits than its factorization.

5759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 5759200 is about 2399.8333275459. The cubic root of 5759200 is about 179.2478905804.

It can be divided in two parts, 575 and 9200, that multiplied together give a square (5290000 = 2300²).

The spelling of 5759200 in words is "five million, seven hundred fifty-nine thousand, two hundred".