362272 has 12 divisors (see below), whose sum is σ = 713286. Its totient is φ = 181120.

The previous prime is 362237. The next prime is 362281. The reversal of 362272 is 272263.

It can be written as a sum of positive squares in only one way, i.e., 355216 + 7056 = 596^2 + 84^2 .

It is a d-powerful number, because it can be written as 3² + 6⁷ + 2⁶ + 2¹⁴ + 7³ + 2¹⁶ .

It is an unprimeable number.

362272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5629 + ... + 5692.

2³⁶²²⁷² is an apocalyptic number.

362272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

362272 is a deficient number, since it is larger than the sum of its proper divisors (351014).

362272 is a wasteful number, since it uses less digits than its factorization.

362272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331 (or 11323 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 362272 is about 601.8903554635. The cubic root of 362272 is about 71.2872053558.

Subtracting from 362272 its reverse (272263), we obtain a palindrome (90009).

The spelling of 362272 in words is "three hundred sixty-two thousand, two hundred seventy-two".