744424772 has 96 divisors (see below), whose sum is σ = 1655808000. Its totient is φ = 285005952.

The previous prime is 744424717. The next prime is 744424777. The reversal of 744424772 is 277424447.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (744424777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114629 + ... + 3114867.

It is an arithmetic number, because the mean of its divisors is an integer number (17248000).

Almost surely, 2^744424772 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 744424772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827904000).

744424772 is an abundant number, since it is smaller than the sum of its proper divisors (911383228).

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

744424772 is a wasteful number, since it uses less digits than its factorization.

744424772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its digits is 351232, while the sum is 41.

The square root of 744424772 is about 27284.1487314521. The cubic root of 744424772 is about 906.3033922281.

The spelling of 744424772 in words is "seven hundred forty-four million, four hundred twenty-four thousand, seven hundred seventy-two".