36252160 has 180 divisors, whose sum is σ = 107408862. Its totient is φ = 11698176.

The previous prime is 36252149. The next prime is 36252169. The reversal of 36252160 is 6125263.

It can be written as a sum of positive squares in 3 ways, for example, as 35236096 + 1016064 = 5936^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (36252169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2132472 + ... + 2132488.

Almost surely, 2^36252160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53704431).

36252160 is an abundant number, since it is smaller than the sum of its proper divisors (71156702).

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

36252160 is an equidigital number, since it uses as much as digits as its factorization.

36252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 36252160 is about 6020.9766649606. The cubic root of 36252160 is about 330.9618707277.

The spelling of 36252160 in words is "thirty-six million, two hundred fifty-two thousand, one hundred sixty".