1009872000 has 192 divisors, whose sum is σ = 3627219960. Its totient is φ = 269260800.

The previous prime is 1009871981. The next prime is 1009872001. The reversal of 1009872000 is 2789001.

It can be written as a sum of positive squares in 4 ways, for example, as 480135744 + 529736256 = 21912^2 + 23016^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1009872001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140494 + ... + 147506.

Almost surely, 2^1009872000 is an apocalyptic number.

1009872000 is a gapful number since it is divisible by the number (10) 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 1009872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813609980).

1009872000 is an abundant number, since it is smaller than the sum of its proper divisors (2617347960).

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

1009872000 is an equidigital number, since it uses as much as digits as its factorization.

1009872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1009872000 is about 31778.4832866517. The cubic root of 1009872000 is about 1003.2798971797.

The spelling of 1009872000 in words is "one billion, nine million, eight hundred seventy-two thousand".