743752672 has 48 divisors (see below), whose sum is σ = 1579873680. Its totient is φ = 342623232.

The previous prime is 743752621. The next prime is 743752673. The reversal of 743752672 is 276257347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743752673) 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 7 ways as a sum of consecutive naturals, for example, 272788 + ... + 275500.

It is an arithmetic number, because the mean of its divisors is an integer number (32914035).

Almost surely, 2^743752672 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 743752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789936840).

743752672 is an abundant number, since it is smaller than the sum of its proper divisors (836121008).

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

743752672 is a wasteful number, since it uses less digits than its factorization.

743752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3387 counting only the distinct ones).

The product of its digits is 493920, while the sum is 43.

The square root of 743752672 is about 27271.8292749130. The cubic root of 743752672 is about 906.0305596821.

The spelling of 743752672 in words is "seven hundred forty-three million, seven hundred fifty-two thousand, six hundred seventy-two".