728700720 has 240 divisors, whose sum is σ = 2593334016. Its totient is φ = 168819200.

The previous prime is 728700703. The next prime is 728700781. The reversal of 728700720 is 27007827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667375 + ... + 668465.

Almost surely, 2^728700720 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 728700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

728700720 is an abundant number, since it is smaller than the sum of its proper divisors (1864633296).

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

728700720 is a wasteful number, since it uses less digits than its factorization.

728700720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 728700720 is about 26994.4572088420. The cubic root of 728700720 is about 899.8768226484.

The spelling of 728700720 in words is "seven hundred twenty-eight million, seven hundred thousand, seven hundred twenty".