7434144 has 72 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 2440320.

The previous prime is 7434143. The next prime is 7434169. The reversal of 7434144 is 4414347.

7434144 is digitally balanced in base 4, 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7434143) 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, 23749 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 2^7434144 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 7434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

7434144 is an abundant number, since it is smaller than the sum of its proper divisors (14030208).

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

7434144 is a wasteful number, since it uses less digits than its factorization.

7434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 7434144 is about 2726.5626712034. The cubic root of 7434144 is about 195.1687690786.

The spelling of 7434144 in words is "seven million, four hundred thirty-four thousand, one hundred forty-four".