36144672 has 48 divisors (see below), whose sum is σ = 98159040. Its totient is φ = 11631872.

The previous prime is 36144659. The next prime is 36144677. The reversal of 36144672 is 27644163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (36144677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3708 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (2044980).

Almost surely, 2^36144672 is an apocalyptic number.

36144672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36144672 is an abundant number, since it is smaller than the sum of its proper divisors (62014368).

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

36144672 is a wasteful number, since it uses less digits than its factorization.

36144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13025 (or 13017 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 36144672 is about 6012.0439120153. The cubic root of 36144672 is about 330.6344452069.

The spelling of 36144672 in words is "thirty-six million, one hundred forty-four thousand, six hundred seventy-two".