108472 has 32 divisors (see below), whose sum is σ = 252000. Its totient is φ = 42624.

The previous prime is 108463. The next prime is 108497. The reversal of 108472 is 274801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2¹⁰⁸⁴⁷² 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 108472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

108472 is an abundant number, since it is smaller than the sum of its proper divisors (143528).

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

108472 is a wasteful number, since it uses less digits than its factorization.

108472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 108472 is about 329.3508767257. The cubic root of 108472 is about 47.6913060437.

It can be divided in two parts, 1084 and 72, that added together give a square (1156 = 34²).

The spelling of 108472 in words is "one hundred eight thousand, four hundred seventy-two".