7072083109728 has 1536 divisors, whose sum is σ = 28643792486400. Its totient is φ = 1644196257792.

The previous prime is 7072083109711. The next prime is 7072083109739. The reversal of 7072083109728 is 8279013802707.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1271268675 + ... + 1271274237.

It is an arithmetic number, because the mean of its divisors is an integer number (18648302400).

Almost surely, 2^{7072083109728} is an apocalyptic number.

7072083109728 is a gapful number since it is divisible by the number (78) 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 7072083109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321896243200).

7072083109728 is an abundant number, since it is smaller than the sum of its proper divisors (21571709376672).

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

7072083109728 is a wasteful number, since it uses less digits than its factorization.

7072083109728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 7072083109728 in words is "seven trillion, seventy-two billion, eighty-three million, one hundred nine thousand, seven hundred twenty-eight".