200032146072 has 192 divisors, whose sum is σ = 627256656000. Its totient is φ = 57424973760.

The previous prime is 200032146031. The next prime is 200032146101. The reversal of 200032146072 is 270641230002.

200032146072 is a `hidden beast` number, since 20 + 0 + 0 + 32 + 1 + 4 + 607 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765879 + ... + 1875737.

It is an arithmetic number, because the mean of its divisors is an integer number (3266961750).

Almost surely, 2^200032146072 is an apocalyptic number.

200032146072 is a gapful number since it is divisible by the number (22) 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 200032146072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313628328000).

200032146072 is an abundant number, since it is smaller than the sum of its proper divisors (427224509928).

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

200032146072 is a wasteful number, since it uses less digits than its factorization.

200032146072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109923 (or 109894 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 200032146072 its reverse (270641230002), we get a palindrome (470673376074).

The spelling of 200032146072 in words is "two hundred billion, thirty-two million, one hundred forty-six thousand, seventy-two".