842752 has 22 divisors (see below), whose sum is σ = 1686728. Its totient is φ = 420864.

The previous prime is 842747. The next prime is 842759. The reversal of 842752 is 257248.

It is a d-powerful number, because it can be written as 8³ + 4⁵ + 7⁷ + 2¹⁰ + 5⁶ + 2¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 842752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 613 + ... + 1435.

2⁸⁴²⁷⁵² 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 842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843364).

842752 is an abundant number, since it is smaller than the sum of its proper divisors (843976).

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

842752 is an equidigital number, since it uses as much as digits as its factorization.

842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 825 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 842752 is about 918.0152504180. The cubic root of 842752 is about 94.4568077113.

Subtracting from 842752 its sum of digits (28), we obtain a square (842724 = 918²).

The spelling of 842752 in words is "eight hundred forty-two thousand, seven hundred fifty-two".