682752 has 72 divisors (see below), whose sum is σ = 2093056. Its totient is φ = 193536.

The previous prime is 682751. The next prime is 682763. The reversal of 682752 is 257286.

It is not an unprimeable number, because it can be changed into a prime (682751) 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 in 7 ways as a sum of consecutive naturals, for example, 5313 + ... + 5439.

2⁶⁸²⁷⁵² 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 682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046528).

682752 is an abundant number, since it is smaller than the sum of its proper divisors (1410304).

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

682752 is a wasteful number, since it uses less digits than its factorization.

682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 682752 is about 826.2880853552. The cubic root of 682752 is about 88.0550619591.

The spelling of 682752 in words is "six hundred eighty-two thousand, seven hundred fifty-two".