66362112 has 72 divisors (see below), whose sum is σ = 196264880. Its totient is φ = 22118400.

The previous prime is 66362099. The next prime is 66362137. The reversal of 66362112 is 21126366.

66362112 is a `hidden beast` number, since 6 + 636 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112 + ... + 11712.

Almost surely, 2^66362112 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 66362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98132440).

66362112 is an abundant number, since it is smaller than the sum of its proper divisors (129902768).

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

66362112 is an equidigital number, since it uses as much as digits as its factorization.

66362112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626 (or 9606 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66362112 is about 8146.2943722898. The cubic root of 66362112 is about 404.8617360679.

Adding to 66362112 its reverse (21126366), we get a palindrome (87488478).

The spelling of 66362112 in words is "sixty-six million, three hundred sixty-two thousand, one hundred twelve".