185472 has 96 divisors (see below), whose sum is σ = 636480. Its totient is φ = 50688.

The previous prime is 185467. The next prime is 185477. The reversal of 185472 is 274581.

It is an interprime number because it is at equal distance from previous prime (185467) and next prime (185477).

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2240) is a multiple of the sum of its prime divisors (35).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (185477) 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, 8053 + ... + 8075.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2¹⁸⁵⁴⁷² is an apocalyptic number.

185472 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 185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240).

185472 is an abundant number, since it is smaller than the sum of its proper divisors (451008).

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

185472 is a wasteful number, since it uses less digits than its factorization.

185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 185472 is about 430.6646026782. The cubic root of 185472 is about 57.0286098296.

The spelling of 185472 in words is "one hundred eighty-five thousand, four hundred seventy-two".