732768 has 48 divisors (see below), whose sum is σ = 2041200. Its totient is φ = 229376.

The previous prime is 732761. The next prime is 732769. The reversal of 732768 is 867237.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 732768.

It is not an unprimeable number, because it can be changed into a prime (732761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1408 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁷³²⁷⁶⁸ 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 732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020600).

732768 is an abundant number, since it is smaller than the sum of its proper divisors (1308432).

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

732768 is a wasteful number, since it uses less digits than its factorization.

732768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 732768 is about 856.0186913847. The cubic root of 732768 is about 90.1547953358.

The spelling of 732768 in words is "seven hundred thirty-two thousand, seven hundred sixty-eight".