36726120 has 144 divisors (see below), whose sum is σ = 127153260. Its totient is φ = 9191424.

The previous prime is 36726077. The next prime is 36726121. The reversal of 36726120 is 2162763.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24740676 + 11985444 = 4974^2 + 3462^2 .

It is not an unprimeable number, because it can be changed into a prime (36726121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103864 + ... + 104216.

Almost surely, 2^36726120 is an apocalyptic number.

36726120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36726120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576630).

36726120 is an abundant number, since it is smaller than the sum of its proper divisors (90427140).

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

36726120 is a wasteful number, since it uses less digits than its factorization.

36726120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36726120 is about 6060.2079172253. The cubic root of 36726120 is about 332.3979599070.

Adding to 36726120 its reverse (2162763), we get a palindrome (38888883).

The spelling of 36726120 in words is "thirty-six million, seven hundred twenty-six thousand, one hundred twenty".