36727136 has 48 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 17390208.

The previous prime is 36727129. The next prime is 36727139. The reversal of 36727136 is 63172763.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36727096 and 36727105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36727139) 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, 102125 + ... + 102483.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^36727136 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 36727136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

36727136 is an abundant number, since it is smaller than the sum of its proper divisors (39477664).

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

36727136 is a wasteful number, since it uses less digits than its factorization.

36727136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its digits is 31752, while the sum is 35.

The square root of 36727136 is about 6060.2917421524. The cubic root of 36727136 is about 332.4010250571.

Adding to 36727136 its reverse (63172763), we get a palindrome (99899899).

It can be divided in two parts, 36727 and 136, that added together give a palindrome (36863).

The spelling of 36727136 in words is "thirty-six million, seven hundred twenty-seven thousand, one hundred thirty-six".