314272 has 48 divisors (see below), whose sum is σ = 749952. Its totient is φ = 126720.

The previous prime is 314267. The next prime is 314299. The reversal of 314272 is 272413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5122 + ... + 5182.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2³¹⁴²⁷² is an apocalyptic number.

314272 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 314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

314272 is an abundant number, since it is smaller than the sum of its proper divisors (435680).

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

314272 is a wasteful number, since it uses less digits than its factorization.

314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 314272 is about 560.5996789154. The cubic root of 314272 is about 67.9884640177.

Adding to 314272 its reverse (272413), we get a palindrome (586685).

The spelling of 314272 in words is "three hundred fourteen thousand, two hundred seventy-two", and thus it is an iban number.