512203140072 has 96 divisors (see below), whose sum is σ = 1496794670280. Its totient is φ = 157298319360.

The previous prime is 512203140037. The next prime is 512203140073. The reversal of 512203140072 is 270041302215.

512203140072 is a `hidden beast` number, since 5 + 1 + 220 + 31 + 400 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 296931267396 + 215271872676 = 544914^2 + 463974^2 .

It is not an unprimeable number, because it can be changed into a prime (512203140073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37513 + ... + 1012824.

Almost surely, 2^512203140072 is an apocalyptic number.

512203140072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512203140072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748397335140).

512203140072 is an abundant number, since it is smaller than the sum of its proper divisors (984591530208).

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

512203140072 is a wasteful number, since it uses less digits than its factorization.

512203140072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050883 (or 1050876 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 512203140072 its reverse (270041302215), we get a palindrome (782244442287).

The spelling of 512203140072 in words is "five hundred twelve billion, two hundred three million, one hundred forty thousand, seventy-two".