36012672 has 96 divisors (see below), whose sum is σ = 106186080. Its totient is φ = 11708928.

The previous prime is 36012671. The next prime is 36012709. The reversal of 36012672 is 27621063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (36012671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49173 + ... + 49899.

It is an arithmetic number, because the mean of its divisors is an integer number (1106105).

Almost surely, 2^36012672 is an apocalyptic number.

36012672 is a gapful number since it is divisible by the number (32) 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 36012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53093040).

36012672 is an abundant number, since it is smaller than the sum of its proper divisors (70173408).

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

36012672 is a wasteful number, since it uses less digits than its factorization.

36012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

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

The square root of 36012672 is about 6001.0559070884. The cubic root of 36012672 is about 330.2314629576.

The spelling of 36012672 in words is "thirty-six million, twelve thousand, six hundred seventy-two".