7281984 has 112 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 2162688.

The previous prime is 7281977. The next prime is 7282003. The reversal of 7281984 is 4891827.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 75024 + ... + 75120.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^7281984 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 7281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

7281984 is an abundant number, since it is smaller than the sum of its proper divisors (14224704).

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

7281984 is a wasteful number, since it uses less digits than its factorization.

7281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 7281984 is about 2698.5151472615. The cubic root of 7281984 is about 193.8280262910.

The spelling of 7281984 in words is "seven million, two hundred eighty-one thousand, nine hundred eighty-four".