131530672 has 60 divisors (see below), whose sum is σ = 315418800. Its totient is φ = 52026624.

The previous prime is 131530669. The next prime is 131530699. The reversal of 131530672 is 276035131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 131530672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15454 + ... + 22402.

It is an arithmetic number, because the mean of its divisors is an integer number (5256980).

Almost surely, 2^131530672 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 131530672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157709400).

131530672 is an abundant number, since it is smaller than the sum of its proper divisors (183888128).

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

131530672 is a wasteful number, since it uses less digits than its factorization.

131530672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 131530672 is about 11468.6822259578. The cubic root of 131530672 is about 508.5601731898.

The spelling of 131530672 in words is "one hundred thirty-one million, five hundred thirty thousand, six hundred seventy-two".