132728112 has 320 divisors, whose sum is σ = 462827520. Its totient is φ = 35942400.

The previous prime is 132728083. The next prime is 132728117. The reversal of 132728112 is 211827231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (132728117) 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 63 ways as a sum of consecutive naturals, for example, 2504278 + ... + 2504330.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 2^132728112 is an apocalyptic number.

132728112 is a gapful number since it is divisible by the number (12) 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 132728112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

132728112 is an abundant number, since it is smaller than the sum of its proper divisors (330099408).

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

132728112 is a wasteful number, since it uses less digits than its factorization.

132728112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 132728112 is about 11520.7687243517. The cubic root of 132728112 is about 510.0988043864.

The spelling of 132728112 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, one hundred twelve".