728508072 has 128 divisors (see below), whose sum is σ = 2082412800. Its totient is φ = 210997248.

The previous prime is 728508047. The next prime is 728508073. The reversal of 728508072 is 270805827.

It is a self number, because there is not a number n which added to its sum of digits gives 728508072.

It is not an unprimeable number, because it can be changed into a prime (728508073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270798 + ... + 273474.

It is an arithmetic number, because the mean of its divisors is an integer number (16268850).

Almost surely, 2^728508072 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 728508072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041206400).

728508072 is an abundant number, since it is smaller than the sum of its proper divisors (1353904728).

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

728508072 is a wasteful number, since it uses less digits than its factorization.

728508072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 728508072 is about 26990.8886848877. Note that the first 3 decimals coincide. The cubic root of 728508072 is about 899.7975149415.

The spelling of 728508072 in words is "seven hundred twenty-eight million, five hundred eight thousand, seventy-two".