909072 has 60 divisors (see below), whose sum is σ = 2611440. Its totient is φ = 295104.

The previous prime is 909071. The next prime is 909089. The reversal of 909072 is 270909.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (909071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8443 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2⁹⁰⁹⁰⁷² 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 909072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305720).

909072 is an abundant number, since it is smaller than the sum of its proper divisors (1702368).

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

909072 is a wasteful number, since it uses less digits than its factorization.

909072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 909072 is about 953.4526731831. The cubic root of 909072 is about 96.8722589582.

It can be divided in two parts, 90907 and 2, that added together give a palindrome (90909).

The spelling of 909072 in words is "nine hundred nine thousand, seventy-two".