36636672 has 96 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 11894784.

The previous prime is 36636671. The next prime is 36636679. The reversal of 36636672 is 27663663.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36636672.

It is not an unprimeable number, because it can be changed into a prime (36636671) 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 7 ways as a sum of consecutive naturals, for example, 411604 + ... + 411692.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^36636672 is an apocalyptic number.

36636672 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 36636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

36636672 is an abundant number, since it is smaller than the sum of its proper divisors (63608928).

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

36636672 is an equidigital number, since it uses as much as digits as its factorization.

36636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The square root of 36636672 is about 6052.8234733883. The cubic root of 36636672 is about 332.1278841540.

The spelling of 36636672 in words is "thirty-six million, six hundred thirty-six thousand, six hundred seventy-two".