36162720 has 192 divisors, whose sum is σ = 138257280. Its totient is φ = 8755200.

The previous prime is 36162713. The next prime is 36162761. The reversal of 36162720 is 2726163.

It is a happy number.

36162720 is a `hidden beast` number, since 3 + 616 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47140 + ... + 47900.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 2^36162720 is an apocalyptic number.

36162720 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 36162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

36162720 is an abundant number, since it is smaller than the sum of its proper divisors (102094560).

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

36162720 is a wasteful number, since it uses less digits than its factorization.

36162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

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

The square root of 36162720 is about 6013.5447117320. The cubic root of 36162720 is about 330.6894675860.

Adding to 36162720 its reverse (2726163), we get a palindrome (38888883).

It can be divided in two parts, 3616 and 2720, that added together give a palindrome (6336).

The spelling of 36162720 in words is "thirty-six million, one hundred sixty-two thousand, seven hundred twenty".