66239712 has 288 divisors, whose sum is σ = 245306880. Its totient is φ = 16450560.

The previous prime is 66239699. The next prime is 66239749. The reversal of 66239712 is 21793266.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643053 + ... + 643155.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^66239712 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 66239712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

66239712 is an abundant number, since it is smaller than the sum of its proper divisors (179067168).

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

66239712 is a wasteful number, since it uses less digits than its factorization.

66239712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 66239712 is about 8138.7782866964. The cubic root of 66239712 is about 404.6126703829.

It can be divided in two parts, 66 and 239712, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 66239712 in words is "sixty-six million, two hundred thirty-nine thousand, seven hundred twelve".