131595072 has 112 divisors (see below), whose sum is σ = 400872960. Its totient is φ = 37320192.

The previous prime is 131595071. The next prime is 131595077. The reversal of 131595072 is 270595131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131595071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240303 + ... + 240849.

Almost surely, 2^131595072 is an apocalyptic number.

131595072 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 131595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200436480).

131595072 is an abundant number, since it is smaller than the sum of its proper divisors (269277888).

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

131595072 is a wasteful number, since it uses less digits than its factorization.

131595072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 131595072 is about 11471.4895283917. The cubic root of 131595072 is about 508.6431599966.

The spelling of 131595072 in words is "one hundred thirty-one million, five hundred ninety-five thousand, seventy-two".