36661728 has 48 divisors (see below), whose sum is σ = 96553296. Its totient is φ = 12180480.

The previous prime is 36661727. The next prime is 36661753. The reversal of 36661728 is 82716663.

36661728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36661721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49650 + ... + 50382.

It is an arithmetic number, because the mean of its divisors is an integer number (2011527).

Almost surely, 2^36661728 is an apocalyptic number.

It is an amenable number.

36661728 is an abundant number, since it is smaller than the sum of its proper divisors (59891568).

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

36661728 is a wasteful number, since it uses less digits than its factorization.

36661728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 36661728 is about 6054.8928974838. The cubic root of 36661728 is about 332.2035815307.

The spelling of 36661728 in words is "thirty-six million, six hundred sixty-one thousand, seven hundred twenty-eight".