72730728 has 48 divisors (see below), whose sum is σ = 225120480. Its totient is φ = 20780064.

The previous prime is 72730663. The next prime is 72730739. The reversal of 72730728 is 82703727.

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

It is a junction number, because it is equal to n+sod(n) for n = 72730692 and 72730701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71650 + ... + 72657.

It is an arithmetic number, because the mean of its divisors is an integer number (4690010).

Almost surely, 2^72730728 is an apocalyptic number.

It is an amenable number.

72730728 is an abundant number, since it is smaller than the sum of its proper divisors (152389752).

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

72730728 is a wasteful number, since it uses less digits than its factorization.

72730728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144326 (or 144319 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 72730728 is about 8528.2312351390. The cubic root of 72730728 is about 417.4194148074.

The spelling of 72730728 in words is "seventy-two million, seven hundred thirty thousand, seven hundred twenty-eight".