132728616 has 72 divisors (see below), whose sum is σ = 368396730. Its totient is φ = 43170624.

The previous prime is 132728597. The next prime is 132728633. The reversal of 132728616 is 616827231.

132728616 is a `hidden beast` number, since 1 + 32 + 7 + 2 + 8 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91126116 + 41602500 = 9546^2 + 6450^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132630 + ... + 133626.

Almost surely, 2^132728616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132728616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184198365).

132728616 is an abundant number, since it is smaller than the sum of its proper divisors (235668114).

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

132728616 is a wasteful number, since it uses less digits than its factorization.

132728616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1045 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 132728616 is about 11520.7905978713. The cubic root of 132728616 is about 510.0994500408.

The spelling of 132728616 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, six hundred sixteen".