732768000 has 288 divisors, whose sum is σ = 2582798400. Its totient is φ = 183500800.

The previous prime is 732767977. The next prime is 732768037. The reversal of 732768000 is 867237.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631776 + ... + 1632224.

It is an arithmetic number, because the mean of its divisors is an integer number (8968050).

Almost surely, 2^732768000 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 732768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291399200).

732768000 is an abundant number, since it is smaller than the sum of its proper divisors (1850030400).

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

732768000 is a wasteful number, since it uses less digits than its factorization.

732768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 476 counting only the distinct ones).

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

The square root of 732768000 is about 27069.6878445245. The cubic root of 732768000 is about 901.5479533580.

The spelling of 732768000 in words is "seven hundred thirty-two million, seven hundred sixty-eight thousand".