744144 has 40 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 240768.

The previous prime is 744137. The next prime is 744179. The reversal of 744144 is 441447.

744144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 744144.

It is an unprimeable number.

744144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁷⁴⁴¹⁴⁴ is an apocalyptic number.

744144 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

744144 is an abundant number, since it is smaller than the sum of its proper divisors (1234896).

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

744144 is a wasteful number, since it uses less digits than its factorization.

744144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 744144 is about 862.6378150765. The cubic root of 744144 is about 90.6189435509.

It can be divided in two parts, 744 and 144, that added together give a palindrome (888).

The spelling of 744144 in words is "seven hundred forty-four thousand, one hundred forty-four", and thus it is an iban number.