744016 has 60 divisors (see below), whose sum is σ = 1830612. Its totient is φ = 290304.

The previous prime is 743989. The next prime is 744019. The reversal of 744016 is 610447.

744016 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 490000 = 504^2 + 700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744019) by changing a digit.

744016 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 11 ways as a sum of consecutive naturals, for example, 10156 + ... + 10228.

2⁷⁴⁴⁰¹⁶ 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 744016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915306).

744016 is an abundant number, since it is smaller than the sum of its proper divisors (1086596).

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

744016 is a wasteful number, since it uses less digits than its factorization.

744016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 744016 is about 862.5636208420. The cubic root of 744016 is about 90.6137474733.

The spelling of 744016 in words is "seven hundred forty-four thousand, sixteen".