36162288 has 120 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 11793600.

The previous prime is 36162277. The next prime is 36162307. The reversal of 36162288 is 88226163.

36162288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36162288² = 2615422146789888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 275983 + ... + 276113.

Almost surely, 2^36162288 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 36162288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

36162288 is an abundant number, since it is smaller than the sum of its proper divisors (71080848).

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

36162288 is a wasteful number, since it uses less digits than its factorization.

36162288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 36162288 is about 6013.5087927100. The cubic root of 36162288 is about 330.6881507749.

The spelling of 36162288 in words is "thirty-six million, one hundred sixty-two thousand, two hundred eighty-eight".