324072 has 48 divisors (see below), whose sum is σ = 1004640. Its totient is φ = 92448.

The previous prime is 324067. The next prime is 324073. The reversal of 324072 is 270423.

It is a happy number.

It is a super-2 number, since 2×324072² = 210045322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (324073) by changing a digit.

324072 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 11 ways as a sum of consecutive naturals, for example, 183 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (20930).

2³²⁴⁰⁷² 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 324072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502320).

324072 is an abundant number, since it is smaller than the sum of its proper divisors (680568).

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

324072 is a wasteful number, since it uses less digits than its factorization.

324072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 324072 is about 569.2732208703. The cubic root of 324072 is about 68.6879417952.

Adding to 324072 its reverse (270423), we get a palindrome (594495).

The spelling of 324072 in words is "three hundred twenty-four thousand, seventy-two", and thus it is an iban number.