66132000 has 288 divisors, whose sum is σ = 257572224. Its totient is φ = 15936000.

The previous prime is 66131983. The next prime is 66132019. The reversal of 66132000 is 23166.

It is a happy number.

66132000 is a `hidden beast` number, since 661 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395917 + ... + 396083.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^66132000 is an apocalyptic number.

66132000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

66132000 is an abundant number, since it is smaller than the sum of its proper divisors (191440224).

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

66132000 is a wasteful number, since it uses less digits than its factorization.

66132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66132000 is about 8132.1583850783. The cubic root of 66132000 is about 404.3932386522.

Adding to 66132000 its reverse (23166), we get a palindrome (66155166).

The spelling of 66132000 in words is "sixty-six million, one hundred thirty-two thousand".