182472 has 16 divisors (see below), whose sum is σ = 456240. Its totient is φ = 60816.

The previous prime is 182471. The next prime is 182473. The reversal of 182472 is 274281.

It is an interprime number because it is at equal distance from previous prime (182471) and next prime (182473).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 7603 = 182472 / (1 + 8 + 2 + 4 + 7 + 2).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 182472.

It is not an unprimeable number, because it can be changed into a prime (182471) 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 3 ways as a sum of consecutive naturals, for example, 3778 + ... + 3825.

It is an arithmetic number, because the mean of its divisors is an integer number (28515).

2¹⁸²⁴⁷² is an apocalyptic number.

182472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

182472 is an abundant number, since it is smaller than the sum of its proper divisors (273768).

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

182472 is a wasteful number, since it uses less digits than its factorization.

182472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7608 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 182472 is about 427.1674144876. The cubic root of 182472 is about 56.7194586840.

Subtracting 182472 from its reverse (274281), we obtain a square (91809 = 303²).

It can be divided in two parts, 1824 and 72, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 182472 in words is "one hundred eighty-two thousand, four hundred seventy-two".