5782752 has 120 divisors (see below), whose sum is σ = 17929296. Its totient is φ = 1824768.

The previous prime is 5782717. The next prime is 5782753. The reversal of 5782752 is 2572875.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5³ + 7² + 8³ + 2⁸ + 7⁸ + 5⁴ + 2¹⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59568 + ... + 59664.

Almost surely, 2^5782752 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 5782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964648).

5782752 is an abundant number, since it is smaller than the sum of its proper divisors (12146544).

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

5782752 is a wasteful number, since it uses less digits than its factorization.

5782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5782752 is about 2404.7353284717. The cubic root of 5782752 is about 179.4919004319.

The spelling of 5782752 in words is "five million, seven hundred eighty-two thousand, seven hundred fifty-two".