72411132300200 has 192 divisors, whose sum is σ = 179054476387200. Its totient is φ = 27139158835200.

The previous prime is 72411132300193. The next prime is 72411132300209. The reversal of 72411132300200 is 200323111427.

72411132300200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 72411132300200.

It is not an unprimeable number, because it can be changed into a prime (72411132300209) 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 47 ways as a sum of consecutive naturals, for example, 1599905171 + ... + 1599950429.

It is an arithmetic number, because the mean of its divisors is an integer number (932575397850).

Almost surely, 2^{72411132300200} 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 72411132300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89527238193600).

72411132300200 is an abundant number, since it is smaller than the sum of its proper divisors (106643344087000).

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

72411132300200 is a wasteful number, since it uses less digits than its factorization.

72411132300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47380 (or 47371 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 72411132300200 its reverse (200323111427), we get a palindrome (72611455411627).

The spelling of 72411132300200 in words is "seventy-two trillion, four hundred eleven billion, one hundred thirty-two million, three hundred thousand, two hundred".