319272 has 32 divisors (see below), whose sum is σ = 816480. Its totient is φ = 104000.

The previous prime is 319259. The next prime is 319279. The reversal of 319272 is 272913.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (319279) 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, 1147 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2³¹⁹²⁷² 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 319272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

319272 is an abundant number, since it is smaller than the sum of its proper divisors (497208).

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

319272 is a wasteful number, since it uses less digits than its factorization.

319272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 319272 is about 565.0415913895. The cubic root of 319272 is about 68.3471292127.

It can be divided in two parts, 319 and 272, that multiplied together give a palindrome (86768).

The spelling of 319272 in words is "three hundred nineteen thousand, two hundred seventy-two".