744128 has 56 divisors (see below), whose sum is σ = 1853184. Its totient is φ = 288000.

The previous prime is 744127. The next prime is 744137. The reversal of 744128 is 821447.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 744097 and 744106.

It is not an unprimeable number, because it can be changed into a prime (744127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4853 + ... + 5003.

2⁷⁴⁴¹²⁸ 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 744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926592).

744128 is an abundant number, since it is smaller than the sum of its proper divisors (1109056).

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

744128 is a wasteful number, since it uses less digits than its factorization.

744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 744128 is about 862.6285411462. The cubic root of 744128 is about 90.6182940738.

The spelling of 744128 in words is "seven hundred forty-four thousand, one hundred twenty-eight".