9279072 has 144 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 2688000.

The previous prime is 9279071. The next prime is 9279077. The reversal of 9279072 is 2709729.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9279072² = 172202354362368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9279071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91822 + ... + 91922.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^9279072 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 9279072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

9279072 is an abundant number, since it is smaller than the sum of its proper divisors (20794608).

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

9279072 is a wasteful number, since it uses less digits than its factorization.

9279072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9279072 is about 3046.1569230754. The cubic root of 9279072 is about 210.1365098824.

9279072 divided by its sum of digits (36) gives a palindrome (257752).

It can be divided in two parts, 927 and 9072, that added together give a palindrome (9999).

The spelling of 9279072 in words is "nine million, two hundred seventy-nine thousand, seventy-two".