131966072 has 64 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 55266048.

The previous prime is 131966063. The next prime is 131966089. The reversal of 131966072 is 270669131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790133 + ... + 790299.

It is an arithmetic number, because the mean of its divisors is an integer number (4520880).

Almost surely, 2^131966072 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 131966072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

131966072 is an abundant number, since it is smaller than the sum of its proper divisors (157370248).

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

131966072 is a wasteful number, since it uses less digits than its factorization.

131966072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 131966072 is about 11487.6486715080. The cubic root of 131966072 is about 509.1207096733.

The spelling of 131966072 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, seventy-two".