321272 has 16 divisors (see below), whose sum is σ = 688560. Its totient is φ = 137664.

The previous prime is 321247. The next prime is 321289. The reversal of 321272 is 272123.

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 321272.

It is a congruent number.

It is an unprimeable number.

321272 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2813 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (43035).

2³²¹²⁷² is an apocalyptic number.

It is an amenable number.

321272 is an abundant number, since it is smaller than the sum of its proper divisors (367288).

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

321272 is a wasteful number, since it uses less digits than its factorization.

321272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5746 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 321272 is about 566.8086096735. The cubic root of 321272 is about 68.4895467737.

Adding to 321272 its reverse (272123), we get a palindrome (593395).

It can be divided in two parts, 32 and 1272, that multiplied together give a palindrome (40704).

The spelling of 321272 in words is "three hundred twenty-one thousand, two hundred seventy-two", and thus it is an iban number.