66000672 has 72 divisors (see below), whose sum is σ = 189631260. Its totient is φ = 21772800.

The previous prime is 66000659. The next prime is 66000673. The reversal of 66000672 is 27600066.

It can be written as a sum of positive squares in 2 ways, for example, as 65999376 + 1296 = 8124^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (66000673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27954 + ... + 30222.

Almost surely, 2^66000672 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 66000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94815630).

66000672 is an abundant number, since it is smaller than the sum of its proper divisors (123630588).

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

66000672 is a wasteful number, since it uses less digits than its factorization.

66000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 66000672 is about 8124.0797632717. The cubic root of 66000672 is about 404.1253736299.

The spelling of 66000672 in words is "sixty-six million, six hundred seventy-two", and thus it is an aban number.