737728 has 14 divisors (see below), whose sum is σ = 1464056. Its totient is φ = 368832.

The previous prime is 737719. The next prime is 737729. The reversal of 737728 is 827737.

It is a junction number, because it is equal to n+sod(n) for n = 737693 and 737702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (737729) by changing a digit.

737728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 5700 + ... + 5827.

2⁷³⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

737728 is a deficient number, since it is larger than the sum of its proper divisors (726328).

737728 is a wasteful number, since it uses less digits than its factorization.

737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539 (or 11529 counting only the distinct ones).

The product of its digits is 16464, while the sum is 34.

The square root of 737728 is about 858.9109383399. The cubic root of 737728 is about 90.3577529904.

Subtracting 737728 from its reverse (827737), we obtain a palindrome (90009).

The spelling of 737728 in words is "seven hundred thirty-seven thousand, seven hundred twenty-eight".