323072 has 20 divisors (see below), whose sum is σ = 646536. Its totient is φ = 161280.

The previous prime is 323053. The next prime is 323077. The reversal of 323072 is 270323.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 323072.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 323072.

It is not an unprimeable number, because it can be changed into a prime (323077) by changing a digit.

323072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 197 + ... + 827.

2³²³⁰⁷² is an apocalyptic number.

323072 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 323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323268).

323072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

323072 is an frugal number, since it uses more digits than its factorization.

323072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 323072 is about 568.3942293866. The cubic root of 323072 is about 68.6172180939.

Adding to 323072 its reverse (270323), we get a palindrome (593395).

The spelling of 323072 in words is "three hundred twenty-three thousand, seventy-two", and thus it is an iban number.