9072000000 has 770 divisors, whose sum is σ = 38700598376. Its totient is φ = 2073600000.

The previous prime is 9071999999. The next prime is 9072000031. The reversal of 9072000000 is 2709.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1295999997 + ... + 1296000003.

Almost surely, 2^9072000000 is an apocalyptic number.

9072000000 is a gapful number since it is divisible by the number (90) 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 9072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350299188).

9072000000 is an abundant number, since it is smaller than the sum of its proper divisors (29628598376).

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

9072000000 is an frugal number, since it uses more digits than its factorization.

9072000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 9072000000 is about 95247.0471983253. The cubic root of 9072000000 is about 2085.6159869319.

Adding to 9072000000 its reverse (2709), we get a palindrome (9072002709).

The spelling of 9072000000 in words is "nine billion, seventy-two million", and thus it is an aban number and an uban number.