7280416 has 96 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 2903040.

The previous prime is 7280393. The next prime is 7280417. The reversal of 7280416 is 6140827.

It is not an unprimeable number, because it can be changed into a prime (7280417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169291 + ... + 169333.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 2^7280416 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 7280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

7280416 is an abundant number, since it is smaller than the sum of its proper divisors (10416032).

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

7280416 is a wasteful number, since it uses less digits than its factorization.

7280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7280416 is about 2698.2246014741. The cubic root of 7280416 is about 193.8141132254.

The spelling of 7280416 in words is "seven million, two hundred eighty thousand, four hundred sixteen".