66912672 has 48 divisors (see below), whose sum is σ = 178137792. Its totient is φ = 21987840.

The previous prime is 66912653. The next prime is 66912679. The reversal of 66912672 is 27621966.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66912672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66912679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908 + ... + 11724.

It is an arithmetic number, because the mean of its divisors is an integer number (3711204).

Almost surely, 2^66912672 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 66912672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89068896).

66912672 is an abundant number, since it is smaller than the sum of its proper divisors (111225120).

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

66912672 is a wasteful number, since it uses less digits than its factorization.

66912672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901 (or 9893 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 66912672 is about 8180.0166259000. The cubic root of 66912672 is about 405.9782721917.

The spelling of 66912672 in words is "sixty-six million, nine hundred twelve thousand, six hundred seventy-two".