131072032 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 46531584.

The previous prime is 131072027. The next prime is 131072047. The reversal of 131072032 is 230270131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272493 + ... + 1272595.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^131072032 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 131072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

131072032 is an abundant number, since it is smaller than the sum of its proper divisors (221163488).

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

131072032 is a wasteful number, since it uses less digits than its factorization.

131072032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 131072032 is about 11448.6694423413. The cubic root of 131072032 is about 507.9683779684.

The spelling of 131072032 in words is "one hundred thirty-one million, seventy-two thousand, thirty-two".