743040 has 128 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 193536.

The previous prime is 743027. The next prime is 743047. The reversal of 743040 is 40347.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (743047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17259 + ... + 17301.

2⁷⁴³⁰⁴⁰ 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 743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346400).

743040 is an abundant number, since it is smaller than the sum of its proper divisors (1949760).

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

743040 is a wasteful number, since it uses less digits than its factorization.

743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 743040 is about 861.9976798113. The cubic root of 743040 is about 90.5741077715.

Adding to 743040 its reverse (40347), we get a palindrome (783387).

The spelling of 743040 in words is "seven hundred forty-three thousand, forty", and thus it is an iban number.