131772 has 24 divisors (see below), whose sum is σ = 313600. Its totient is φ = 43056.

The previous prime is 131771. The next prime is 131777. The reversal of 131772 is 277131.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131771) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 879 + ... + 1017.

2¹³¹⁷⁷² is an apocalyptic number.

131772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131772 is an abundant number, since it is smaller than the sum of its proper divisors (181828).

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

131772 is a wasteful number, since it uses less digits than its factorization.

131772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 131772 is about 363.0041322079. The cubic root of 131772 is about 50.8871012793.

It can be divided in two parts, 131 and 772, that added together give a triangular number (903 = T₄₂).

The spelling of 131772 in words is "one hundred thirty-one thousand, seven hundred seventy-two".