132720 has 80 divisors (see below), whose sum is σ = 476160. Its totient is φ = 29952.

The previous prime is 132709. The next prime is 132721. The reversal of 132720 is 27231.

132720 = T₆₉ + T₇₀ + ... + T₁₀₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×132720² = 35229196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132721) by changing a digit.

132720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1641 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2¹³²⁷²⁰ is an apocalyptic number.

132720 is a gapful number since it is divisible by the number (10) 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 132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

132720 is an abundant number, since it is smaller than the sum of its proper divisors (343440).

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

132720 is a wasteful number, since it uses less digits than its factorization.

132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 132720 is about 364.3075623700. The cubic root of 132720 is about 51.0088412200.

Adding to 132720 its reverse (27231), we get a palindrome (159951).

The spelling of 132720 in words is "one hundred thirty-two thousand, seven hundred twenty".