322752 has 42 divisors (see below), whose sum is σ = 875284. Its totient is φ = 104960.

The previous prime is 322747. The next prime is 322757. The reversal of 322752 is 257223.

It is an interprime number because it is at equal distance from previous prime (322747) and next prime (322757).

It is not an unprimeable number, because it can be changed into a prime (322757) by changing a digit.

322752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7852 + ... + 7892.

2³²²⁷⁵² is an apocalyptic number.

322752 is a gapful number since it is divisible by the number (32) 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 322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437642).

322752 is an abundant number, since it is smaller than the sum of its proper divisors (552532).

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

322752 is an equidigital number, since it uses as much as digits as its factorization.

322752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 322752 is about 568.1126648826. The cubic root of 322752 is about 68.5945556911.

Adding to 322752 its reverse (257223), we get a palindrome (579975).

The spelling of 322752 in words is "three hundred twenty-two thousand, seven hundred fifty-two".