9783072000 has 864 divisors, whose sum is σ = 39679436160. Its totient is φ = 2372198400.

The previous prime is 9783071983. The next prime is 9783072031. The reversal of 9783072000 is 2703879.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146015967 + ... + 146016033.

Almost surely, 2^9783072000 is an apocalyptic number.

9783072000 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 9783072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839718080).

9783072000 is an abundant number, since it is smaller than the sum of its proper divisors (29896364160).

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

9783072000 is a wasteful number, since it uses less digits than its factorization.

9783072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9783072000 is about 98909.4131010795. The cubic root of 9783072000 is about 2138.7420912601.

Adding to 9783072000 its reverse (2703879), we get a palindrome (9785775879).

The spelling of 9783072000 in words is "nine billion, seven hundred eighty-three million, seventy-two thousand".