36138720 has 48 divisors (see below), whose sum is σ = 113838480. Its totient is φ = 9636864.

The previous prime is 36138691. The next prime is 36138737. The reversal of 36138720 is 2783163.

36138720 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 Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 37165 + ... + 38124.

It is an arithmetic number, because the mean of its divisors is an integer number (2371635).

Almost surely, 2^36138720 is an apocalyptic number.

36138720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36138720 is an abundant number, since it is smaller than the sum of its proper divisors (77699760).

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

36138720 is a wasteful number, since it uses less digits than its factorization.

36138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75307 (or 75299 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 36138720 is about 6011.5488852708. The cubic root of 36138720 is about 330.6162955126.

The spelling of 36138720 in words is "thirty-six million, one hundred thirty-eight thousand, seven hundred twenty".