66075072 has 112 divisors (see below), whose sum is σ = 201606912. Its totient is φ = 18708480.

The previous prime is 66075071. The next prime is 66075077. The reversal of 66075072 is 27057066.

It is a tau number, because it is divible by the number of its divisors (112).

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 (66075071) 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, 283468 + ... + 283700.

Almost surely, 2^66075072 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 66075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100803456).

66075072 is an abundant number, since it is smaller than the sum of its proper divisors (135531840).

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

66075072 is a wasteful number, since it uses less digits than its factorization.

66075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 66075072 is about 8128.6574537251. The cubic root of 66075072 is about 404.2771682314.

The spelling of 66075072 in words is "sixty-six million, seventy-five thousand, seventy-two".