9072648 has 96 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 2783808.

The previous prime is 9072643. The next prime is 9072653. The reversal of 9072648 is 8462709.

9072648 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (9072643) and next prime (9072653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9072643) 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 23 ways as a sum of consecutive naturals, for example, 25093 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^9072648 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 9072648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

9072648 is an abundant number, since it is smaller than the sum of its proper divisors (18445752).

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

9072648 is a wasteful number, since it uses less digits than its factorization.

9072648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9072648 is about 3012.0836641767. The cubic root of 9072648 is about 208.5665643273.

The spelling of 9072648 in words is "nine million, seventy-two thousand, six hundred forty-eight".