9072180 has 72 divisors (see below), whose sum is σ = 29643432. Its totient is φ = 2232576.

The previous prime is 9072127. The next prime is 9072191. The reversal of 9072180 is 812709.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 9072144 = 6^2 + 3012^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 402 + ... + 4278.

Almost surely, 2^9072180 is an apocalyptic number.

9072180 is a gapful number since it is divisible by the number (90) 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 9072180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821716).

9072180 is an abundant number, since it is smaller than the sum of its proper divisors (20571252).

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

9072180 is a wasteful number, since it uses less digits than its factorization.

9072180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3900 counting only the distinct ones).

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

The square root of 9072180 is about 3012.0059760897. The cubic root of 9072180 is about 208.5629780597.

Adding to 9072180 its reverse (812709), we get a palindrome (9884889).

The spelling of 9072180 in words is "nine million, seventy-two thousand, one hundred eighty".