66112872 has 64 divisors (see below), whose sum is σ = 190888320. Its totient is φ = 18690048.

The previous prime is 66112831. The next prime is 66112873. The reversal of 66112872 is 27821166.

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

It is not an unprimeable number, because it can be changed into a prime (66112873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14268 + ... + 18324.

It is an arithmetic number, because the mean of its divisors is an integer number (2982630).

Almost surely, 2^66112872 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 66112872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95444160).

66112872 is an abundant number, since it is smaller than the sum of its proper divisors (124775448).

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

66112872 is a wasteful number, since it uses less digits than its factorization.

66112872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4166 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 66112872 is about 8130.9822284888. The cubic root of 66112872 is about 404.3542460326.

The spelling of 66112872 in words is "sixty-six million, one hundred twelve thousand, eight hundred seventy-two".