131587272 has 48 divisors (see below), whose sum is σ = 356928000. Its totient is φ = 43795296.

The previous prime is 131587271. The next prime is 131587279. The reversal of 131587272 is 272785131.

131587272 is a `hidden beast` number, since 1 + 3 + 1 + 587 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131587271) 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 11 ways as a sum of consecutive naturals, for example, 73929 + ... + 75687.

It is an arithmetic number, because the mean of its divisors is an integer number (7436000).

Almost surely, 2^131587272 is an apocalyptic number.

131587272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131587272 is an abundant number, since it is smaller than the sum of its proper divisors (225340728).

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

131587272 is a wasteful number, since it uses less digits than its factorization.

131587272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2803 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 131587272 is about 11471.1495500669. The cubic root of 131587272 is about 508.6331102407.

The spelling of 131587272 in words is "one hundred thirty-one million, five hundred eighty-seven thousand, two hundred seventy-two".