36072036 has 243 divisors, whose sum is σ = 126246393. Its totient is φ = 8648640.

The previous prime is 36072019. The next prime is 36072037. The reversal of 36072036 is 63027063.

The square root of 36072036 is 6006.

It is a perfect power (a square), and thus also a powerful number.

36072036 is a `hidden beast` number, since 3 + 607 + 20 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5336100 + 30735936 = 2310^2 + 5544^2 .

It is not an unprimeable number, because it can be changed into a prime (36072037) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2774766 + ... + 2774778.

Almost surely, 2^36072036 is an apocalyptic number.

36072036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36072036 is the 6006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36072036

36072036 is an abundant number, since it is smaller than the sum of its proper divisors (90174357).

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

36072036 is a wasteful number, since it uses less digits than its factorization.

36072036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The cubic root of 36072036 is about 330.4128167009.

Adding to 36072036 its reverse (63027063), we get a palindrome (99099099).

The spelling of 36072036 in words is "thirty-six million, seventy-two thousand, thirty-six".