41472 has 50 divisors (see below), whose sum is σ = 123783. Its totient is φ = 13824.

The previous prime is 41467. The next prime is 41479. The reversal of 41472 is 27414.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (3!)^{2} ⋅ 2!.

41472 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 20736 = 144^2 + 144^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=24.

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

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

It is a nialpdrome in base 6, base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (41479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 13823 + 13824 + 13825.

41472 is a Friedman number, since it can be written as 24^4/(7+1), using all its digits and the basic arithmetic operations.

2^{41472} 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 41472

41472 is an abundant number, since it is smaller than the sum of its proper divisors (82311).

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

41472 is an frugal number, since it uses more digits than its factorization.

41472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 5 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 41472 is about 203.6467529817. The cubic root of 41472 is about 34.6139896874.

Multiplying 41472 by its sum of digits (18), we get a square (746496 = 864^{2}).

41472 divided by its sum of digits (18) gives a square (2304 = 48^{2}).

Adding to 41472 its reverse (27414), we get a palindrome (68886).

The spelling of 41472 in words is "forty-one thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472

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