72511128290000 has 200 divisors, whose sum is σ = 175832929826400. Its totient is φ = 28958860224000.

The previous prime is 72511128289991. The next prime is 72511128290017. The reversal of 72511128290000 is 9282111527.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29273768762 + ... + 29273771238.

It is an arithmetic number, because the mean of its divisors is an integer number (879164649132).

Almost surely, 2^{72511128290000} 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 72511128290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87916464913200).

72511128290000 is an abundant number, since it is smaller than the sum of its proper divisors (103321801536400).

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

72511128290000 is a wasteful number, since it uses less digits than its factorization.

72511128290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 72511128290000 in words is "seventy-two trillion, five hundred eleven billion, one hundred twenty-eight million, two hundred ninety thousand".