1009872 has 30 divisors (see below), whose sum is σ = 2826642. Its totient is φ = 336576.

The previous prime is 1009859. The next prime is 1009873. The reversal of 1009872 is 2789001.

1009872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 968256 + 41616 = 984^2 + 204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3363 + ... + 3650.

2^1009872 is an apocalyptic number.

1009872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009872 is an abundant number, since it is smaller than the sum of its proper divisors (1816770).

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

1009872 is a wasteful number, since it uses less digits than its factorization.

1009872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7018 counting only the distinct ones).

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

The square root of 1009872 is about 1004.9238777141. The cubic root of 1009872 is about 100.3279897180.

It can be divided in two parts, 1009 and 872, that added together give a palindrome (1881).

The spelling of 1009872 in words is "one million, nine thousand, eight hundred seventy-two".