1009743872 has 48 divisors (see below), whose sum is σ = 2044879200. Its totient is φ = 498481152.

The previous prime is 1009743869. The next prime is 1009743929. The reversal of 1009743872 is 2783479001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 3 ways as a sum of consecutive naturals, for example, 12781529 + ... + 12781607.

It is an arithmetic number, because the mean of its divisors is an integer number (42601650).

Almost surely, 2^1009743872 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 1009743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022439600).

1009743872 is an abundant number, since it is smaller than the sum of its proper divisors (1035135328).

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

1009743872 is an frugal number, since it uses more digits than its factorization.

1009743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 1009743872 is about 31776.4672674607. The cubic root of 1009743872 is about 1003.2374648439.

The spelling of 1009743872 in words is "one billion, nine million, seven hundred forty-three thousand, eight hundred seventy-two".