728766720 has 504 divisors, whose sum is σ = 2895383232. Its totient is φ = 174182400.

The previous prime is 728766683. The next prime is 728766721. The reversal of 728766720 is 27667827.

It is a happy number.

It is a super-2 number, since 2×728766720² = 1062201864359116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (728766721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264285 + ... + 10264355.

It is an arithmetic number, because the mean of its divisors is an integer number (5744808).

Almost surely, 2^728766720 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 728766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447691616).

728766720 is an abundant number, since it is smaller than the sum of its proper divisors (2166616512).

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

728766720 is an equidigital number, since it uses as much as digits as its factorization.

728766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 728766720 is about 26995.6796543447. The cubic root of 728766720 is about 899.9039897582.

The spelling of 728766720 in words is "seven hundred twenty-eight million, seven hundred sixty-six thousand, seven hundred twenty".