909872 has 40 divisors (see below), whose sum is σ = 1926960. Its totient is φ = 414720.

The previous prime is 909863. The next prime is 909877. The reversal of 909872 is 278909.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (909877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12428 + ... + 12500.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

2⁹⁰⁹⁸⁷² is an apocalyptic number.

909872 is the 779-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 909872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963480).

909872 is an abundant number, since it is smaller than the sum of its proper divisors (1017088).

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

909872 is a wasteful number, since it uses less digits than its factorization.

909872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 909872 is about 953.8721088280. The cubic root of 909872 is about 96.9006670803.

The spelling of 909872 in words is "nine hundred nine thousand, eight hundred seventy-two".