315318072072 has 128 divisors (see below), whose sum is σ = 864536601600. Its totient is φ = 95553561600.

The previous prime is 315318072061. The next prime is 315318072073. The reversal of 315318072072 is 270270813513.

It is a self number, because there is not a number n which added to its sum of digits gives 315318072072.

It is not an unprimeable number, because it can be changed into a prime (315318072073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600822 + ... + 995802.

It is an arithmetic number, because the mean of its divisors is an integer number (6754192200).

Almost surely, 2^315318072072 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 315318072072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432268300800).

315318072072 is an abundant number, since it is smaller than the sum of its proper divisors (549218529528).

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

315318072072 is a wasteful number, since it uses less digits than its factorization.

315318072072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395087 (or 395083 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 315318072072 its reverse (270270813513), we get a palindrome (585588885585).

The spelling of 315318072072 in words is "three hundred fifteen billion, three hundred eighteen million, seventy-two thousand, seventy-two".