7440288 has 96 divisors (see below), whose sum is σ = 21337344. Its totient is φ = 2260992.

The previous prime is 7440263. The next prime is 7440289. The reversal of 7440288 is 8820447.

7440288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7440289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76656 + ... + 76752.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 2^7440288 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 7440288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668672).

7440288 is an abundant number, since it is smaller than the sum of its proper divisors (13897056).

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

7440288 is a wasteful number, since it uses less digits than its factorization.

7440288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 7440288 is about 2727.6891318477. The cubic root of 7440288 is about 195.2225204690. Note that the first 3 decimals are identical.

The spelling of 7440288 in words is "seven million, four hundred forty thousand, two hundred eighty-eight".