360221072 has 40 divisors (see below), whose sum is σ = 713492280. Its totient is φ = 176117760.

The previous prime is 360221051. The next prime is 360221077. The reversal of 360221072 is 270122063.

360221072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 359329936 = 944^2 + 18956^2 .

It is not an unprimeable number, because it can be changed into a prime (360221077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356504 + ... + 357512.

It is an arithmetic number, because the mean of its divisors is an integer number (17837307).

Almost surely, 2^360221072 is an apocalyptic number.

It is an amenable number.

360221072 is a deficient number, since it is larger than the sum of its proper divisors (353271208).

360221072 is a wasteful number, since it uses less digits than its factorization.

360221072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 360221072 is about 18979.4908256254. The cubic root of 360221072 is about 711.5242476782.

Subtracting from 360221072 its reverse (270122063), we obtain a palindrome (90099009).

The spelling of 360221072 in words is "three hundred sixty million, two hundred twenty-one thousand, seventy-two".