72000006000000 has 1344 divisors, whose sum is σ = 271817994122640. Its totient is φ = 16783718400000.

The previous prime is 72000005999951. The next prime is 72000006000001. The reversal of 72000006000000 is 60000027.

72000006000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

72000006000000 is a nontrivial binomial coefficient, being equal to C(12000001, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000006000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 28157998722 + ... + 28158001278.

Almost surely, 2^{72000006000000} is an apocalyptic number.

72000006000000 is the 12000000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72000006000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135908997061320).

72000006000000 is an abundant number, since it is smaller than the sum of its proper divisors (199817988122640).

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

72000006000000 is an equidigital number, since it uses as much as digits as its factorization.

72000006000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

Adding to 72000006000000 its reverse (60000027), we get a palindrome (72000066000027).

The spelling of 72000006000000 in words is "seventy-two trillion, six million", and thus it is an aban number and an uban number.