317248272 has 160 divisors (see below), whose sum is σ = 1004757120. Its totient is φ = 95040000.

The previous prime is 317248247. The next prime is 317248273. The reversal of 317248272 is 272842713.

317248272 is a `hidden beast` number, since 3 + 172 + 482 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (317248273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479622 + ... + 480282.

It is an arithmetic number, because the mean of its divisors is an integer number (6279732).

Almost surely, 2^317248272 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 317248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502378560).

317248272 is an abundant number, since it is smaller than the sum of its proper divisors (687508848).

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

317248272 is a wasteful number, since it uses less digits than its factorization.

317248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 317248272 is about 17811.4646225402. The cubic root of 317248272 is about 682.0241532770.

The spelling of 317248272 in words is "three hundred seventeen million, two hundred forty-eight thousand, two hundred seventy-two".