132180072 has 16 divisors (see below), whose sum is σ = 330450240. Its totient is φ = 44060016.

The previous prime is 132180071. The next prime is 132180077. The reversal of 132180072 is 270081231.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5507503 = 132180072 / (1 + 3 + 2 + 1 + 8 + 0 + 0 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (132180071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2753728 + ... + 2753775.

It is an arithmetic number, because the mean of its divisors is an integer number (20653140).

Almost surely, 2^132180072 is an apocalyptic number.

132180072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132180072 is an abundant number, since it is smaller than the sum of its proper divisors (198270168).

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

132180072 is a wasteful number, since it uses less digits than its factorization.

132180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507512 (or 5507508 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 132180072 is about 11496.9592501670. The cubic root of 132180072 is about 509.3957626726.

The spelling of 132180072 in words is "one hundred thirty-two million, one hundred eighty thousand, seventy-two".