359272 has 8 divisors (see below), whose sum is σ = 673650. Its totient is φ = 179632.

The previous prime is 359267. The next prime is 359279. The reversal of 359272 is 272953.

It can be written as a sum of positive squares in only one way, i.e., 343396 + 15876 = 586^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3⁷ + 5⁷ + 2¹⁷ + 9 + 7⁵ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 359272.

It is not an unprimeable number, because it can be changed into a prime (359279) 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 as a sum of consecutive naturals, namely, 22447 + ... + 22462.

2³⁵⁹²⁷² is an apocalyptic number.

It is an amenable number.

359272 is a deficient number, since it is larger than the sum of its proper divisors (314378).

359272 is a wasteful number, since it uses less digits than its factorization.

359272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44915 (or 44911 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 359272 is about 599.3930263191. The cubic root of 359272 is about 71.0898815389.

The spelling of 359272 in words is "three hundred fifty-nine thousand, two hundred seventy-two".