36272 has 10 divisors (see below), whose sum is σ = 70308. Its totient is φ = 18128.

The previous prime is 36269. The next prime is 36277. The reversal of 36272 is 27263.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36272.

It is not an unprimeable number, because it can be changed into a prime (36277) by changing a digit.

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, 1118 + ... + 1149.

2³⁶²⁷² is an apocalyptic number.

It is an amenable number.

36272 is a deficient number, since it is larger than the sum of its proper divisors (34036).

36272 is a wasteful number, since it uses less digits than its factorization.

36272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2269 counting only the distinct ones).

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

The square root of 36272 is about 190.4520937139. The cubic root of 36272 is about 33.1022235738.

Subtracting from 36272 its reverse (27263), we obtain a palindrome (9009).

It can be divided in two parts, 362 and 72, that added together give a palindrome (434).

The spelling of 36272 in words is "thirty-six thousand, two hundred seventy-two".