318072 has 32 divisors (see below), whose sum is σ = 824400. Its totient is φ = 102144.

The previous prime is 318023. The next prime is 318077. The reversal of 318072 is 270813.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 318072.

It is not an unprimeable number, because it can be changed into a prime (318077) 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, 468 + ... + 924.

2³¹⁸⁰⁷² 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 318072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412200).

318072 is an abundant number, since it is smaller than the sum of its proper divisors (506328).

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

318072 is a wasteful number, since it uses less digits than its factorization.

318072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 318072 is about 563.9787230029. The cubic root of 318072 is about 68.2613929913.

Adding to 318072 its reverse (270813), we get a palindrome (588885).

The spelling of 318072 in words is "three hundred eighteen thousand, seventy-two".