36789720 has 128 divisors (see below), whose sum is σ = 123171840. Its totient is φ = 8714240.

The previous prime is 36789689. The next prime is 36789733. The reversal of 36789720 is 2798763.

36789720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61744 + ... + 62336.

It is an arithmetic number, because the mean of its divisors is an integer number (962280).

Almost surely, 2^36789720 is an apocalyptic number.

36789720 is a gapful number since it is divisible by the number (30) 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 36789720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61585920).

36789720 is an abundant number, since it is smaller than the sum of its proper divisors (86382120).

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

36789720 is a wasteful number, since it uses less digits than its factorization.

36789720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 36789720 is about 6065.4529921515. The cubic root of 36789720 is about 332.5897245939.

The spelling of 36789720 in words is "thirty-six million, seven hundred eighty-nine thousand, seven hundred twenty".