66738672 has 240 divisors, whose sum is σ = 251317248. Its totient is φ = 15966720.

The previous prime is 66738653. The next prime is 66738673. The reversal of 66738672 is 27683766.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66738673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143913 + ... + 144375.

Almost surely, 2^66738672 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 66738672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125658624).

66738672 is an abundant number, since it is smaller than the sum of its proper divisors (184578576).

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

66738672 is a wasteful number, since it uses less digits than its factorization.

66738672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 66738672 is about 8169.3740274271. The cubic root of 66738672 is about 405.6260641724.

The spelling of 66738672 in words is "sixty-six million, seven hundred thirty-eight thousand, six hundred seventy-two".