728160 has 96 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 184320.

The previous prime is 728131. The next prime is 728173. The reversal of 728160 is 61827.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 728160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17740 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2⁷²⁸¹⁶⁰ 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 728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

728160 is an abundant number, since it is smaller than the sum of its proper divisors (1684992).

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

728160 is a wasteful number, since it uses less digits than its factorization.

728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 728160 is about 853.3229166031. The cubic root of 728160 is about 89.9654188132.

Adding to 728160 its reverse (61827), we get a palindrome (789987).

It can be divided in two parts, 728 and 160, that added together give a palindrome (888).

The spelling of 728160 in words is "seven hundred twenty-eight thousand, one hundred sixty".