36072144 has 30 divisors (see below), whose sum is σ = 100952306. Its totient is φ = 12024000.

The previous prime is 36072137. The next prime is 36072173. The reversal of 36072144 is 44127063.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 788544 = 5940^2 + 888^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 125107 + ... + 125394.

Almost surely, 2^36072144 is an apocalyptic number.

It is an amenable number.

36072144 is an abundant number, since it is smaller than the sum of its proper divisors (64880162).

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

36072144 is a wasteful number, since it uses less digits than its factorization.

36072144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250515 (or 250506 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 36072144 is about 6006.0089910023. The cubic root of 36072144 is about 330.4131464536.

The spelling of 36072144 in words is "thirty-six million, seventy-two thousand, one hundred forty-four".