326272 has 16 divisors (see below), whose sum is σ = 650250. Its totient is φ = 163072.

The previous prime is 326257. The next prime is 326309. The reversal of 326272 is 272623.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 118336 = 456^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3⁶ + 2⁴ + 2¹⁴ + 6⁶ + 7³ + 2¹⁸ .

It is an unprimeable number.

326272 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 as a sum of consecutive naturals, namely, 1147 + ... + 1402.

2³²⁶²⁷² is an apocalyptic number.

326272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

326272 is a deficient number, since it is larger than the sum of its proper divisors (323978).

326272 is an equidigital number, since it uses as much as digits as its factorization.

326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 326272 is about 571.2022408920. The cubic root of 326272 is about 68.8430233876.

Adding to 326272 its reverse (272623), we get a palindrome (598895).

It can be divided in two parts, 32 and 6272, that multiplied together give a square (200704 = 448²).

The spelling of 326272 in words is "three hundred twenty-six thousand, two hundred seventy-two".