66612672 has 112 divisors (see below), whose sum is σ = 223845120. Its totient is φ = 19028736.

The previous prime is 66612653. The next prime is 66612701. The reversal of 66612672 is 27621666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9343 + ... + 14849.

Almost surely, 2^66612672 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 66612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111922560).

66612672 is an abundant number, since it is smaller than the sum of its proper divisors (157232448).

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

66612672 is a wasteful number, since it uses less digits than its factorization.

66612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5519 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66612672 is about 8161.6586549549. The cubic root of 66612672 is about 405.3706346481.

The spelling of 66612672 in words is "sixty-six million, six hundred twelve thousand, six hundred seventy-two".