744732736 has 84 divisors (see below), whose sum is σ = 1720247004. Its totient is φ = 318545920.

The previous prime is 744732727. The next prime is 744732739. The reversal of 744732736 is 637237447.

It can be written as a sum of positive squares in 2 ways, for example, as 309760000 + 434972736 = 17600^2 + 20856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 744732692 and 744732701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744732739) 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, 128820 + ... + 134476.

It is an arithmetic number, because the mean of its divisors is an integer number (20479131).

Almost surely, 2^744732736 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 744732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860123502).

744732736 is an abundant number, since it is smaller than the sum of its proper divisors (975514268).

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

744732736 is a wasteful number, since it uses less digits than its factorization.

744732736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5687 counting only the distinct ones).

The product of its digits is 592704, while the sum is 43.

The square root of 744732736 is about 27289.7917910709. The cubic root of 744732736 is about 906.4283523981.

The spelling of 744732736 in words is "seven hundred forty-four million, seven hundred thirty-two thousand, seven hundred thirty-six".