66732120 has 384 divisors, whose sum is σ = 281534400. Its totient is φ = 13934592.

The previous prime is 66732101. The next prime is 66732121. The reversal of 66732120 is 2123766.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66732121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687912 + ... + 688008.

Almost surely, 2^66732120 is an apocalyptic number.

66732120 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 66732120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

66732120 is an abundant number, since it is smaller than the sum of its proper divisors (214802280).

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

66732120 is a wasteful number, since it uses less digits than its factorization.

66732120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 66732120 is about 8168.9730076675. The cubic root of 66732120 is about 405.6127897651.

Adding to 66732120 its reverse (2123766), we get a palindrome (68855886).

The spelling of 66732120 in words is "sixty-six million, seven hundred thirty-two thousand, one hundred twenty".