130728672 has 72 divisors (see below), whose sum is σ = 373791600. Its totient is φ = 43338240.

The previous prime is 130728671. The next prime is 130728677. The reversal of 130728672 is 276827031.

130728672 is a `hidden beast` number, since 1 + 307 + 286 + 72 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130728671) 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 11 ways as a sum of consecutive naturals, for example, 56172 + ... + 58452.

It is an arithmetic number, because the mean of its divisors is an integer number (5191550).

Almost surely, 2^130728672 is an apocalyptic number.

130728672 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 130728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186895800).

130728672 is an abundant number, since it is smaller than the sum of its proper divisors (243062928).

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

130728672 is a wasteful number, since it uses less digits than its factorization.

130728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 130728672 is about 11433.6639796699. The cubic root of 130728672 is about 507.5244273067.

The spelling of 130728672 in words is "one hundred thirty million, seven hundred twenty-eight thousand, six hundred seventy-two".