313072 has 20 divisors (see below), whose sum is σ = 642816. Its totient is φ = 147200.

The previous prime is 313037. The next prime is 313081. The reversal of 313072 is 270313.

313072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

313072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304 + ... + 847.

2³¹³⁰⁷² is an apocalyptic number.

It is an amenable number.

313072 is an abundant number, since it is smaller than the sum of its proper divisors (329744).

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

313072 is a wasteful number, since it uses less digits than its factorization.

313072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 313072 is about 559.5283728284. The cubic root of 313072 is about 67.9018190953.

Adding to 313072 its reverse (270313), we get a palindrome (583385).

The spelling of 313072 in words is "three hundred thirteen thousand, seventy-two".