314072 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 137760.

The previous prime is 314063. The next prime is 314077. The reversal of 314072 is 270413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314077) 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, 3743 + ... + 3825.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³¹⁴⁰⁷² 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 314072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

314072 is an abundant number, since it is smaller than the sum of its proper divisors (351208).

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

314072 is a wasteful number, since it uses less digits than its factorization.

314072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

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

The square root of 314072 is about 560.4212701174. The cubic root of 314072 is about 67.9740385324.

Adding to 314072 its reverse (270413), we get a palindrome (584485).

The spelling of 314072 in words is "three hundred fourteen thousand, seventy-two", and thus it is an iban number.