7482144 has 48 divisors (see below), whose sum is σ = 19988640. Its totient is φ = 2449920.

The previous prime is 7482121. The next prime is 7482157. The reversal of 7482144 is 4412847.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5004 + ... + 6324.

It is an arithmetic number, because the mean of its divisors is an integer number (416430).

Almost surely, 2^7482144 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 7482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9994320).

7482144 is an abundant number, since it is smaller than the sum of its proper divisors (12506496).

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

7482144 is a wasteful number, since it uses less digits than its factorization.

7482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 7482144 is about 2735.3508001717. The cubic root of 7482144 is about 195.5879166678.

It can be divided in two parts, 7482 and 144, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 7482144 in words is "seven million, four hundred eighty-two thousand, one hundred forty-four".