36633272 has 32 divisors (see below), whose sum is σ = 74459280. Its totient is φ = 16796160.

The previous prime is 36633271. The next prime is 36633301. The reversal of 36633272 is 27233663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36633271) 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, 15872 + ... + 18032.

Almost surely, 2^36633272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36633272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37229640).

36633272 is an abundant number, since it is smaller than the sum of its proper divisors (37826008).

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

36633272 is a wasteful number, since it uses less digits than its factorization.

36633272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2339 counting only the distinct ones).

The product of its digits is 27216, while the sum is 32.

The square root of 36633272 is about 6052.5426062110. The cubic root of 36633272 is about 332.1176096605.

The spelling of 36633272 in words is "thirty-six million, six hundred thirty-three thousand, two hundred seventy-two".