743552 has 32 divisors (see below), whose sum is σ = 1531020. Its totient is φ = 359424.

The previous prime is 743551. The next prime is 743573. The reversal of 743552 is 255347.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 10816 = 856^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (743551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4658 + ... + 4814.

2⁷⁴³⁵⁵² 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 743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765510).

743552 is an abundant number, since it is smaller than the sum of its proper divisors (787468).

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

743552 is a wasteful number, since it uses less digits than its factorization.

743552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 4200, while the sum is 26.

The square root of 743552 is about 862.2946132268. The cubic root of 743552 is about 90.5949066947.

Adding to 743552 its reverse (255347), we get a palindrome (998899).

The spelling of 743552 in words is "seven hundred forty-three thousand, five hundred fifty-two".