728732160 has 320 divisors, whose sum is σ = 2791071360. Its totient is φ = 179159040.

The previous prime is 728732153. The next prime is 728732189. The reversal of 728732160 is 61237827.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×728732160² = 1062101122036531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 898155 + ... + 898965.

It is an arithmetic number, because the mean of its divisors is an integer number (8722098).

Almost surely, 2^728732160 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 728732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395535680).

728732160 is an abundant number, since it is smaller than the sum of its proper divisors (2062339200).

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

728732160 is a wasteful number, since it uses less digits than its factorization.

728732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 728732160 is about 26995.0395443311. The cubic root of 728732160 is about 899.8897642762.

Adding to 728732160 its reverse (61237827), we get a palindrome (789969987).

The spelling of 728732160 in words is "seven hundred twenty-eight million, seven hundred thirty-two thousand, one hundred sixty".