7582240 has 24 divisors (see below), whose sum is σ = 17913420. Its totient is φ = 3032832.

The previous prime is 7582231. The next prime is 7582243. The reversal of 7582240 is 422857.

7582240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 1089936 = 2548^2 + 1044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7582199 and 7582208.

It is not an unprimeable number, because it can be changed into a prime (7582243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23535 + ... + 23854.

Almost surely, 2^7582240 is an apocalyptic number.

It is an amenable number.

7582240 is an abundant number, since it is smaller than the sum of its proper divisors (10331180).

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

7582240 is a wasteful number, since it uses less digits than its factorization.

7582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47404 (or 47396 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 7582240 is about 2753.5867518566. The cubic root of 7582240 is about 196.4562465847.

The spelling of 7582240 in words is "seven million, five hundred eighty-two thousand, two hundred forty".