66144 has 48 divisors (see below), whose sum is σ = 190512. Its totient is φ = 19968.

The previous prime is 66137. The next prime is 66161. The reversal of 66144 is 44166.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66144.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66144.

It is an unprimeable number.

66144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2⁶⁶¹⁴⁴ 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 66144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

66144 is an abundant number, since it is smaller than the sum of its proper divisors (124368).

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

66144 is a wasteful number, since it uses less digits than its factorization.

66144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 66144 is about 257.1847584909. The cubic root of 66144 is about 40.4417696935.

It can be divided in two parts, 66 and 144, that added together give a triangular number (210 = T₂₀).

The spelling of 66144 in words is "sixty-six thousand, one hundred forty-four".