36018720 has 72 divisors (see below), whose sum is σ = 122918796. Its totient is φ = 9604608.

The previous prime is 36018709. The next prime is 36018743. The reversal of 36018720 is 2781063.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 2702736 = 5772^2 + 1644^2 .

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

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, 11067 + ... + 13946.

Almost surely, 2^36018720 is an apocalyptic number.

36018720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36018720 is an abundant number, since it is smaller than the sum of its proper divisors (86900076).

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

36018720 is a wasteful number, since it uses less digits than its factorization.

36018720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25034 (or 25023 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 36018720 is about 6001.5597972527. The cubic root of 36018720 is about 330.2499483775.

Adding to 36018720 its reverse (2781063), we get a palindrome (38799783).

It can be divided in two parts, 3601 and 8720, that added together give a palindrome (12321).

The spelling of 36018720 in words is "thirty-six million, eighteen thousand, seven hundred twenty".