312272 has 20 divisors (see below), whose sum is σ = 626820. Its totient is φ = 150528.

The previous prime is 312269. The next prime is 312281. The reversal of 312272 is 272213.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 179776 = 364^2 + 424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (31341).

2³¹²²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313410).

312272 is an abundant number, since it is smaller than the sum of its proper divisors (314548).

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

312272 is a wasteful number, since it uses less digits than its factorization.

312272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

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

The square root of 312272 is about 558.8130277651. The cubic root of 312272 is about 67.8439327404.

Adding to 312272 its reverse (272213), we get a palindrome (584485).

The spelling of 312272 in words is "three hundred twelve thousand, two hundred seventy-two", and thus it is an iban number.