512832216072 has 128 divisors (see below), whose sum is σ = 1445096632320. Its totient is φ = 150250464000.

The previous prime is 512832216067. The next prime is 512832216077. The reversal of 512832216072 is 270612238215.

512832216072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (512832216067) and next prime (512832216077).

It is a self number, because there is not a number n which added to its sum of digits gives 512832216072.

It is not an unprimeable number, because it can be changed into a prime (512832216077) 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, 8916447 + ... + 8973777.

It is an arithmetic number, because the mean of its divisors is an integer number (11289817440).

Almost surely, 2^512832216072 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 512832216072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722548316160).

512832216072 is an abundant number, since it is smaller than the sum of its proper divisors (932264416248).

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

512832216072 is a wasteful number, since it uses less digits than its factorization.

512832216072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58475 (or 58471 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 512832216072 in words is "five hundred twelve billion, eight hundred thirty-two million, two hundred sixteen thousand, seventy-two".