313272 has 48 divisors (see below), whose sum is σ = 897000. Its totient is φ = 98496.

The previous prime is 313267. The next prime is 313273. The reversal of 313272 is 272313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313273) by changing a digit.

313272 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 11 ways as a sum of consecutive naturals, for example, 1254 + ... + 1482.

2³¹³²⁷² 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 313272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448500).

313272 is an abundant number, since it is smaller than the sum of its proper divisors (583728).

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

313272 is a wasteful number, since it uses less digits than its factorization.

313272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 313272 is about 559.7070662409. The cubic root of 313272 is about 67.9162752726.

Adding to 313272 its reverse (272313), we get a palindrome (585585).

It can be divided in two parts, 31327 and 2, that added together give a square (31329 = 177²).

The spelling of 313272 in words is "three hundred thirteen thousand, two hundred seventy-two".