73441 has 3 divisors (see below), whose sum is σ = 73713. Its totient is φ = 73170.

The previous prime is 73433. The next prime is 73453. The reversal of 73441 is 14437.

73441 = T_{270} + T_{271}.

It is a happy number.

The square root of 73441 is 271.

It is a perfect power (a square), and thus also a powerful number.

73441 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 73441 - 2^{3} = 73433 is a prime.

It is a Duffinian number.

73441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73421) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 136 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (24571).

2^{73441} is an apocalyptic number.

73441 is the 271-st square number.

73441 is the 136-th centered octagonal number.

It is an amenable number.

73441 is a deficient number, since it is larger than the sum of its proper divisors (272).

73441 is an frugal number, since it uses more digits than its factorization.

73441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The cubic root of 73441 is about 41.8773823550.

Adding to 73441 its reverse (14437), we get a palindrome (87878).

The spelling of 73441 in words is "seventy-three thousand, four hundred forty-one", and thus it is an iban number.

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