361728 has 54 divisors (see below), whose sum is σ = 1049594. Its totient is φ = 119808.

The previous prime is 361727. The next prime is 361747. The reversal of 361728 is 827163.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 82944 = 528^2 + 288^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2226 + ... + 2382.

2³⁶¹⁷²⁸ 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 361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524797).

361728 is an abundant number, since it is smaller than the sum of its proper divisors (687866).

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

361728 is a wasteful number, since it uses less digits than its factorization.

361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 361728 is about 601.4382761348. The cubic root of 361728 is about 71.2515050467.

It can be divided in two parts, 361 and 728, that added together give a square (1089 = 33²).

The spelling of 361728 in words is "three hundred sixty-one thousand, seven hundred twenty-eight".