1002001872 has 80 divisors (see below), whose sum is σ = 2651616000. Its totient is φ = 325957632.

The previous prime is 1002001769. The next prime is 1002001873. The reversal of 1002001872 is 2781002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336004 + ... + 338972.

It is an arithmetic number, because the mean of its divisors is an integer number (33145200).

Almost surely, 2^1002001872 is an apocalyptic number.

1002001872 is a gapful number since it is divisible by the number (12) 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 1002001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325808000).

1002001872 is an abundant number, since it is smaller than the sum of its proper divisors (1649614128).

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

1002001872 is a wasteful number, since it uses less digits than its factorization.

1002001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1002001872 is about 31654.4131520393. The cubic root of 1002001872 is about 1000.6668458844. Note that the first 3 decimals are identical.

Adding to 1002001872 its reverse (2781002001), we get a palindrome (3783003873).

The spelling of 1002001872 in words is "one billion, two million, one thousand, eight hundred seventy-two".