130584672 has 72 divisors (see below), whose sum is σ = 380441880. Its totient is φ = 42462720.

The previous prime is 130584661. The next prime is 130584673. The reversal of 130584672 is 276485031.

130584672 is a `hidden beast` number, since 1 + 3 + 0 + 584 + 6 + 72 = 666.

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

It is a super-2 number, since 2×130584672² = 34104713122695168, which contains 22 as substring.

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 (130584673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6279 + ... + 17337.

It is an arithmetic number, because the mean of its divisors is an integer number (5283915).

Almost surely, 2^130584672 is an apocalyptic number.

130584672 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 130584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190220940).

130584672 is an abundant number, since it is smaller than the sum of its proper divisors (249857208).

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

130584672 is a wasteful number, since it uses less digits than its factorization.

130584672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 130584672 is about 11427.3650506142. The cubic root of 130584672 is about 507.3380097261.

The spelling of 130584672 in words is "one hundred thirty million, five hundred eighty-four thousand, six hundred seventy-two".