131209272 has 48 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 43346688.

The previous prime is 131209261. The next prime is 131209277. The reversal of 131209272 is 272902131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131209277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^131209272 is an apocalyptic number.

131209272 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 131209272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

131209272 is an abundant number, since it is smaller than the sum of its proper divisors (227316168).

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

131209272 is a wasteful number, since it uses less digits than its factorization.

131209272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131209272 is about 11454.6615838269. The cubic root of 131209272 is about 508.1456068857.

The spelling of 131209272 in words is "one hundred thirty-one million, two hundred nine thousand, two hundred seventy-two".