367272 has 24 divisors (see below), whose sum is σ = 994890. Its totient is φ = 122400.

The previous prime is 367261. The next prime is 367273. The reversal of 367272 is 272763.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 36 = 606^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367272.

It is not an unprimeable number, because it can be changed into a prime (367273) by changing a digit.

367272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2479 + ... + 2622.

367272 is a Friedman number, since it can be written as 72*(7*3^6-2), using all its digits and the basic arithmetic operations.

2³⁶⁷²⁷² is an apocalyptic number.

It is an amenable number.

367272 is an abundant number, since it is smaller than the sum of its proper divisors (627618).

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

367272 is a wasteful number, since it uses less digits than its factorization.

367272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5106 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 367272 is about 606.0297022424. The cubic root of 367272 is about 71.6136715360.

The spelling of 367272 in words is "three hundred sixty-seven thousand, two hundred seventy-two".