36753120 has 72 divisors (see below), whose sum is σ = 125424936. Its totient is φ = 9800448.

The previous prime is 36753113. The next prime is 36753131. The reversal of 36753120 is 2135763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11322 + ... + 14201.

It is an arithmetic number, because the mean of its divisors is an integer number (1742013).

Almost surely, 2^36753120 is an apocalyptic number.

36753120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36753120 is an abundant number, since it is smaller than the sum of its proper divisors (88671816).

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

36753120 is a wasteful number, since it uses less digits than its factorization.

36753120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544 (or 25533 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36753120 is about 6062.4351542924. The cubic root of 36753120 is about 332.4793964658.

Adding to 36753120 its reverse (2135763), we get a palindrome (38888883).

The spelling of 36753120 in words is "thirty-six million, seven hundred fifty-three thousand, one hundred twenty".