728175 has 48 divisors (see below), whose sum is σ = 1468160. Its totient is φ = 311040.

The previous prime is 728173. The next prime is 728191. The reversal of 728175 is 571827.

It is a happy number.

It is not a de Polignac number, because 728175 - 2¹ = 728173 is a prime.

Its product of digits (3920) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9939 + ... + 10011.

2⁷²⁸¹⁷⁵ is an apocalyptic number.

728175 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

728175 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

728175 is a wasteful number, since it uses less digits than its factorization.

728175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 728175 is about 853.3317057276. The cubic root of 728175 is about 89.9660365675.

It can be divided in two parts, 728 and 175, that added together give a triangular number (903 = T₄₂).

The spelling of 728175 in words is "seven hundred twenty-eight thousand, one hundred seventy-five".