315240072 has 64 divisors (see below), whose sum is σ = 903244800. Its totient is φ = 89812800.

The previous prime is 315240067. The next prime is 315240137. The reversal of 315240072 is 270042513.

It is a super-3 number, since 3×315240072³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61197 + ... + 66147.

It is an arithmetic number, because the mean of its divisors is an integer number (14113200).

Almost surely, 2^315240072 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 315240072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451622400).

315240072 is an abundant number, since it is smaller than the sum of its proper divisors (588004728).

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

315240072 is a wasteful number, since it uses less digits than its factorization.

315240072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 315240072 is about 17755.0013235708. The cubic root of 315240072 is about 680.5820218814.

Adding to 315240072 its reverse (270042513), we get a palindrome (585282585).

The spelling of 315240072 in words is "three hundred fifteen million, two hundred forty thousand, seventy-two".