9072672 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 2475264.

The previous prime is 9072653. The next prime is 9072673. The reversal of 9072672 is 2762709.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9072673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15163 + ... + 15749.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^9072672 is an apocalyptic number.

9072672 is a gapful number since it is divisible by the number (92) 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 9072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

9072672 is an abundant number, since it is smaller than the sum of its proper divisors (19377120).

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

9072672 is a wasteful number, since it uses less digits than its factorization.

9072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 9072672 is about 3012.0876481271. The cubic root of 9072672 is about 208.5667482351.

The spelling of 9072672 in words is "nine million, seventy-two thousand, six hundred seventy-two".