132072720 has 80 divisors (see below), whose sum is σ = 440930112. Its totient is φ = 32509440.

The previous prime is 132072701. The next prime is 132072763. The reversal of 132072720 is 27270231.

132072720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18046 + ... + 24285.

Almost surely, 2^132072720 is an apocalyptic number.

132072720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132072720 is an abundant number, since it is smaller than the sum of its proper divisors (308857392).

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

132072720 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (132072719) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (42360).

132072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42360 (or 42354 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 132072720 is about 11492.2895891115. The cubic root of 132072720 is about 509.2578208883.

The spelling of 132072720 in words is "one hundred thirty-two million, seventy-two thousand, seven hundred twenty".