66672144 has 180 divisors, whose sum is σ = 237060720. Its totient is φ = 17297280.

The previous prime is 66672127. The next prime is 66672163. The reversal of 66672144 is 44127666.

66672144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 junction number, because it is equal to n+sod(n) for n = 66672099 and 66672108.

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 35 ways as a sum of consecutive naturals, for example, 77187 + ... + 78045.

It is an arithmetic number, because the mean of its divisors is an integer number (1317004).

Almost surely, 2^66672144 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 66672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118530360).

66672144 is an abundant number, since it is smaller than the sum of its proper divisors (170388576).

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

66672144 is a wasteful number, since it uses less digits than its factorization.

66672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 882 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 66672144 is about 8165.3012191835. The cubic root of 66672144 is about 405.4912374834.

The spelling of 66672144 in words is "sixty-six million, six hundred seventy-two thousand, one hundred forty-four".