320272 has 20 divisors (see below), whose sum is σ = 638476. Its totient is φ = 155520.

The previous prime is 320269. The next prime is 320273. The reversal of 320272 is 272023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 104976 = 464^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (320273) by changing a digit.

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, 322 + ... + 862.

2³²⁰²⁷² is an apocalyptic number.

320272 is the 303-rd centered heptagonal number.

It is an amenable number.

320272 is a deficient number, since it is larger than the sum of its proper divisors (318204).

320272 is a wasteful number, since it uses less digits than its factorization.

320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 320272 is about 565.9257901881. The cubic root of 320272 is about 68.4184121061.

Adding to 320272 its reverse (272023), we get a palindrome (592295).

The spelling of 320272 in words is "three hundred twenty thousand, two hundred seventy-two", and thus it is an iban number.