323872 has 24 divisors (see below), whose sum is σ = 661500. Its totient is φ = 155904.

The previous prime is 323837. The next prime is 323879. The reversal of 323872 is 278323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 5776 = 564^2 + 76^2 .

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

It is not an unprimeable number, because it can be changed into a prime (323879) by changing a digit.

323872 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 in 3 ways as a sum of consecutive naturals, for example, 754 + ... + 1102.

2³²³⁸⁷² is an apocalyptic number.

323872 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 323872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330750).

323872 is an abundant number, since it is smaller than the sum of its proper divisors (337628).

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

323872 is a wasteful number, since it uses less digits than its factorization.

323872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 323872 is about 569.0975311842. The cubic root of 323872 is about 68.6738087061.

It can be divided in two parts, 32 and 3872, that multiplied together give a square (123904 = 352²).

The spelling of 323872 in words is "three hundred twenty-three thousand, eight hundred seventy-two".