706752 has 56 divisors (see below), whose sum is σ = 2082800. Its totient is φ = 235008.

The previous prime is 706751. The next prime is 706753. The reversal of 706752 is 257607.

It is an interprime number because it is at equal distance from previous prime (706751) and next prime (706753).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (706751) 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, 1524 + ... + 1932.

2⁷⁰⁶⁷⁵² is an apocalyptic number.

706752 is a gapful number since it is divisible by the number (72) 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 706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041400).

706752 is an abundant number, since it is smaller than the sum of its proper divisors (1376048).

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

706752 is a wasteful number, since it uses less digits than its factorization.

706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 706752 is about 840.6854346306. The cubic root of 706752 is about 89.0749694452.

The spelling of 706752 in words is "seven hundred six thousand, seven hundred fifty-two".