732960 has 72 divisors (see below), whose sum is σ = 2506140. Its totient is φ = 195072.

The previous prime is 732959. The next prime is 732967. The reversal of 732960 is 69237.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 7056 = 852^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (732967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186 + ... + 1694.

2⁷³²⁹⁶⁰ 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 732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070).

732960 is an abundant number, since it is smaller than the sum of its proper divisors (1773180).

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

732960 is a wasteful number, since it uses less digits than its factorization.

732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 732960 is about 856.1308311234. The cubic root of 732960 is about 90.1626687733.

The spelling of 732960 in words is "seven hundred thirty-two thousand, nine hundred sixty".