72984128000000 has 1638 divisors, whose sum is σ = 230941968944022. Its totient is φ = 22914662400000.

The previous prime is 72984127999997. The next prime is 72984128000009. The reversal of 72984128000000 is 82148927.

It can be written as a sum of positive squares in 21 ways, for example, as 69644766478336 + 3339361521664 = 8345344^2 + 1827392^2 .

It is not an unprimeable number, because it can be changed into a prime (72984128000009) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1972543999982 + ... + 1972544000018.

Almost surely, 2^{72984128000000} is an apocalyptic number.

72984128000000 is a gapful number since it is divisible by the number (70) 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 72984128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115470984472011).

72984128000000 is an abundant number, since it is smaller than the sum of its proper divisors (157957840944022).

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

72984128000000 is an frugal number, since it uses more digits than its factorization.

72984128000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 72984128000000 in words is "seventy-two trillion, nine hundred eighty-four billion, one hundred twenty-eight million", and thus it is an aban number.