9072880 has 80 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 3338496.

The previous prime is 9072859. The next prime is 9072893. The reversal of 9072880 is 882709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71377 + ... + 71503.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^9072880 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 9072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

9072880 is an abundant number, since it is smaller than the sum of its proper divisors (13782800).

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

9072880 is a wasteful number, since it uses less digits than its factorization.

9072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 9072880 is about 3012.1221754770. The cubic root of 9072880 is about 208.5683420895.

The spelling of 9072880 in words is "nine million, seventy-two thousand, eight hundred eighty".