9782859072 has 224 divisors, whose sum is σ = 30723840000. Its totient is φ = 2687956992.

The previous prime is 9782859067. The next prime is 9782859103. The reversal of 9782859072 is 2709582879.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×9782859072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19448773 + ... + 19449275.

It is an arithmetic number, because the mean of its divisors is an integer number (137160000).

Almost surely, 2^9782859072 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 9782859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920000).

9782859072 is an abundant number, since it is smaller than the sum of its proper divisors (20940980928).

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

9782859072 is a wasteful number, since it uses less digits than its factorization.

9782859072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 9782859072 is about 98908.3367163759. The cubic root of 9782859072 is about 2138.7265746146.

The spelling of 9782859072 in words is "nine billion, seven hundred eighty-two million, eight hundred fifty-nine thousand, seventy-two".