36252120 has 64 divisors (see below), whose sum is σ = 109213920. Its totient is φ = 9626624.

The previous prime is 36252089. The next prime is 36252149. The reversal of 36252120 is 2125263.

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 15 ways as a sum of consecutive naturals, for example, 37564 + ... + 38516.

Almost surely, 2^36252120 is an apocalyptic number.

36252120 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 36252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54606960).

36252120 is an abundant number, since it is smaller than the sum of its proper divisors (72961800).

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

36252120 is a wasteful number, since it uses less digits than its factorization.

36252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 36252120 is about 6020.9733432394. The cubic root of 36252120 is about 330.9617490018.

Adding to 36252120 its reverse (2125263), we get a palindrome (38377383).

The spelling of 36252120 in words is "thirty-six million, two hundred fifty-two thousand, one hundred twenty".