66132720 has 160 divisors (see below), whose sum is σ = 241323840. Its totient is φ = 16588800.

The previous prime is 66132719. The next prime is 66132721. The reversal of 66132720 is 2723166.

It is a happy number.

66132720 is a `hidden beast` number, since 6 + 613 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (66132719) and next prime (66132721).

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 (66132721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35820 + ... + 37620.

It is an arithmetic number, because the mean of its divisors is an integer number (1508274).

Almost surely, 2^66132720 is an apocalyptic number.

66132720 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 66132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120661920).

66132720 is an abundant number, since it is smaller than the sum of its proper divisors (175191120).

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

66132720 is a wasteful number, since it uses less digits than its factorization.

66132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1828 counting only the distinct ones).

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

The square root of 66132720 is about 8132.2026536480. The cubic root of 66132720 is about 404.3947062326.

Adding to 66132720 its reverse (2723166), we get a palindrome (68855886).

The spelling of 66132720 in words is "sixty-six million, one hundred thirty-two thousand, seven hundred twenty".