360272 has 40 divisors (see below), whose sum is σ = 803520. Its totient is φ = 154880.

The previous prime is 360271. The next prime is 360277. The reversal of 360272 is 272063.

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360272.

It is not an unprimeable number, because it can be changed into a prime (360271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4004 + ... + 4092.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2³⁶⁰²⁷² 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 360272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

360272 is an abundant number, since it is smaller than the sum of its proper divisors (443248).

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

360272 is a wasteful number, since it uses less digits than its factorization.

360272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 360272 is about 600.2266238680. The cubic root of 360272 is about 71.1557777828.

Subtracting from 360272 its reverse (272063), we obtain a square (88209 = 297²).

The spelling of 360272 in words is "three hundred sixty thousand, two hundred seventy-two".