5782144 has 32 divisors (see below), whose sum is σ = 11628000. Its totient is φ = 2863872.

The previous prime is 5782121. The next prime is 5782157. The reversal of 5782144 is 4412875.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25359 + ... + 25585.

It is an arithmetic number, because the mean of its divisors is an integer number (363375).

Almost surely, 2^5782144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814000).

5782144 is an abundant number, since it is smaller than the sum of its proper divisors (5845856).

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

5782144 is a wasteful number, since it uses less digits than its factorization.

5782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 5782144 is about 2404.6089079100. The cubic root of 5782144 is about 179.4856096036.

The spelling of 5782144 in words is "five million, seven hundred eighty-two thousand, one hundred forty-four".