322272 has 48 divisors (see below), whose sum is σ = 942480. Its totient is φ = 107136.

The previous prime is 322271. The next prime is 322319. The reversal of 322272 is 272223.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹⁰ + 2⁴ + 2⁵ + 2¹⁰ + 7 + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 678 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (19635).

2³²²²⁷² is an apocalyptic number.

322272 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 322272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471240).

322272 is an abundant number, since it is smaller than the sum of its proper divisors (620208).

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

322272 is a wasteful number, since it uses less digits than its factorization.

322272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

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

The square root of 322272 is about 567.6900562807. The cubic root of 322272 is about 68.5605339835.

Adding to 322272 its reverse (272223), we get a palindrome (594495).

It can be divided in two parts, 32 and 2272, that added together give a square (2304 = 48²).

The spelling of 322272 in words is "three hundred twenty-two thousand, two hundred seventy-two", and thus it is an iban number.