164472 has 64 divisors (see below), whose sum is σ = 518400. Its totient is φ = 42240.

The previous prime is 164471. The next prime is 164477. The reversal of 164472 is 274461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1344) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164471) 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 15 ways as a sum of consecutive naturals, for example, 1804 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁶⁴⁴⁷² is an apocalyptic number.

164472 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 164472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

164472 is an abundant number, since it is smaller than the sum of its proper divisors (353928).

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

164472 is a wasteful number, since it uses less digits than its factorization.

164472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 164472 is about 405.5514763874. The cubic root of 164472 is about 54.7894984050.

It can be divided in two parts, 164 and 472, that added together give a palindrome (636).

The spelling of 164472 in words is "one hundred sixty-four thousand, four hundred seventy-two".