66936672 has 96 divisors (see below), whose sum is σ = 213010560. Its totient is φ = 20280960.

The previous prime is 66936671. The next prime is 66936673. The reversal of 66936672 is 27663966.

It is an interprime number because it is at equal distance from previous prime (66936671) and next prime (66936673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66936671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5983 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (2218860).

Almost surely, 2^66936672 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 66936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106505280).

66936672 is an abundant number, since it is smaller than the sum of its proper divisors (146073888).

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

66936672 is a wasteful number, since it uses less digits than its factorization.

66936672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7059 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 66936672 is about 8181.4834840633. The cubic root of 66936672 is about 406.0268046722.

The spelling of 66936672 in words is "sixty-six million, nine hundred thirty-six thousand, six hundred seventy-two".