743071920 has 80 divisors (see below), whose sum is σ = 2321756160. Its totient is φ = 196584192.

The previous prime is 743071919. The next prime is 743071933. The reversal of 743071920 is 29170347.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18291 + ... + 42669.

It is an arithmetic number, because the mean of its divisors is an integer number (29021952).

Almost surely, 2^743071920 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 743071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160878080).

743071920 is an abundant number, since it is smaller than the sum of its proper divisors (1578684240).

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

743071920 is a wasteful number, since it uses less digits than its factorization.

743071920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24522 (or 24516 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 743071920 is about 27259.3455534061. The cubic root of 743071920 is about 905.7540473354.

The spelling of 743071920 in words is "seven hundred forty-three million, seventy-one thousand, nine hundred twenty".