66159072 has 96 divisors (see below), whose sum is σ = 220550400. Its totient is φ = 18900864.

The previous prime is 66159047. The next prime is 66159073. The reversal of 66159072 is 27095166.

66159072 is a `hidden beast` number, since 6 + 61 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66159073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579 + ... + 11517.

It is an arithmetic number, because the mean of its divisors is an integer number (2297400).

Almost surely, 2^66159072 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 66159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110275200).

66159072 is an abundant number, since it is smaller than the sum of its proper divisors (154391328).

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

66159072 is a wasteful number, since it uses less digits than its factorization.

66159072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 66159072 is about 8133.8227175173. The cubic root of 66159072 is about 404.4484123464.

The spelling of 66159072 in words is "sixty-six million, one hundred fifty-nine thousand, seventy-two".