131472 has 60 divisors (see below), whose sum is σ = 406224. Its totient is φ = 39360.

The previous prime is 131449. The next prime is 131477. The reversal of 131472 is 274131.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (131477) by changing a digit.

131472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543 + ... + 1625.

2¹³¹⁴⁷² is an apocalyptic number.

131472 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 131472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

131472 is an abundant number, since it is smaller than the sum of its proper divisors (274752).

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

131472 is a wasteful number, since it uses less digits than its factorization.

131472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 131472 is about 362.5906783137. The cubic root of 131472 is about 50.8484543985.

It can be divided in two parts, 13 and 1472, that added together give a triangular number (1485 = T₅₄).

The spelling of 131472 in words is "one hundred thirty-one thousand, four hundred seventy-two".