744604872 has 128 divisors (see below), whose sum is σ = 2153779200. Its totient is φ = 212371200.

The previous prime is 744604871. The next prime is 744604877. The reversal of 744604872 is 278406447.

It is a super-2 number, since 2×744604872² = 1108872830812272768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (744604871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301579 + ... + 304037.

It is an arithmetic number, because the mean of its divisors is an integer number (16826400).

Almost surely, 2^744604872 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 744604872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076889600).

744604872 is an abundant number, since it is smaller than the sum of its proper divisors (1409174328).

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

744604872 is a wasteful number, since it uses less digits than its factorization.

744604872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 744604872 is about 27287.4489830032. The cubic root of 744604872 is about 906.3764741949.

The spelling of 744604872 in words is "seven hundred forty-four million, six hundred four thousand, eight hundred seventy-two".