743196672 has 144 divisors (see below), whose sum is σ = 2184977340. Its totient is φ = 243302400.

The previous prime is 743196661. The next prime is 743196703. The reversal of 743196672 is 276691347.

It can be written as a sum of positive squares in 2 ways, for example, as 727704576 + 15492096 = 26976^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124022 + ... + 1124682.

Almost surely, 2^743196672 is an apocalyptic number.

743196672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092488670).

743196672 is an abundant number, since it is smaller than the sum of its proper divisors (1441780668).

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

743196672 is a wasteful number, since it uses less digits than its factorization.

743196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 743196672 is about 27261.6337001288. The cubic root of 743196672 is about 905.8047325620.

The spelling of 743196672 in words is "seven hundred forty-three million, one hundred ninety-six thousand, six hundred seventy-two".