7072975945728 has 1440 divisors, whose sum is σ = 27151280956800. Its totient is φ = 1819300331520.

The previous prime is 7072975945699. The next prime is 7072975945733. The reversal of 7072975945728 is 8275495792707.

It is a happy number.

7072975945728 is a `hidden beast` number, since 7 + 0 + 7 + 2 + 9 + 7 + 594 + 5 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68669669325 + ... + 68669669427.

It is an arithmetic number, because the mean of its divisors is an integer number (18855056220).

Almost surely, 2^{7072975945728} 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 7072975945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575640478400).

7072975945728 is an abundant number, since it is smaller than the sum of its proper divisors (20078305011072).

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

7072975945728 is an frugal number, since it uses more digits than its factorization.

7072975945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 7072975945728 in words is "seven trillion, seventy-two billion, nine hundred seventy-five million, nine hundred forty-five thousand, seven hundred twenty-eight".