36219168 has 72 divisors (see below), whose sum is σ = 108435600. Its totient is φ = 11435904.

The previous prime is 36219143. The next prime is 36219199. The reversal of 36219168 is 86191263.

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

It is a super-2 number, since 2×36219168² = 2623656261224448, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2163 + ... + 8781.

It is an arithmetic number, because the mean of its divisors is an integer number (1506050).

Almost surely, 2^36219168 is an apocalyptic number.

36219168 is a gapful number since it is divisible by the number (38) 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 36219168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217800).

36219168 is an abundant number, since it is smaller than the sum of its proper divisors (72216432).

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

36219168 is a wasteful number, since it uses less digits than its factorization.

36219168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6643 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 36219168 is about 6018.2362864879. The cubic root of 36219168 is about 330.8614407754.

The spelling of 36219168 in words is "thirty-six million, two hundred nineteen thousand, one hundred sixty-eight".