36136224 has 72 divisors (see below), whose sum is σ = 103364352. Its totient is φ = 11975040.

The previous prime is 36136213. The next prime is 36136267. The reversal of 36136224 is 42263163.

36136224 is a `hidden beast` number, since 36 + 1 + 3 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77817 + ... + 78279.

It is an arithmetic number, because the mean of its divisors is an integer number (1435616).

Almost surely, 2^36136224 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 36136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51682176).

36136224 is an abundant number, since it is smaller than the sum of its proper divisors (67228128).

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

36136224 is a wasteful number, since it uses less digits than its factorization.

36136224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 36136224 is about 6011.3412812782. The cubic root of 36136224 is about 330.6086837574.

Adding to 36136224 its reverse (42263163), we get a palindrome (78399387).

It can be divided in two parts, 361 and 36224, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 36136224 in words is "thirty-six million, one hundred thirty-six thousand, two hundred twenty-four".