7282944 has 108 divisors (see below), whose sum is σ = 21921900. Its totient is φ = 2322432.

The previous prime is 7282943. The next prime is 7282981. The reversal of 7282944 is 4492827.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 2822400 = 2112^2 + 1680^2 .

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

It is a d-powerful number, because it can be written as 7⁷ + 2¹⁷ + 8⁵ + 2²¹ + 9 + 4⁶ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 7282899 and 7282908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66762 + ... + 66870.

Almost surely, 2^7282944 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 7282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960950).

7282944 is an abundant number, since it is smaller than the sum of its proper divisors (14638956).

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

7282944 is a wasteful number, since it uses less digits than its factorization.

7282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7282944 is about 2698.6930169992. The cubic root of 7282944 is about 193.8365435087.

The spelling of 7282944 in words is "seven million, two hundred eighty-two thousand, nine hundred forty-four".