73641 has 4 divisors (see below), whose sum is σ = 98192. Its totient is φ = 49092.

The previous prime is 73637. The next prime is 73643. The reversal of 73641 is 14637.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 73641 - 2² = 73637 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73641.

It is not an unprimeable number, because it can be changed into a prime (73643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12271 + ... + 12276.

It is an arithmetic number, because the mean of its divisors is an integer number (24548).

2⁷³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

73641 is a deficient number, since it is larger than the sum of its proper divisors (24551).

73641 is a wasteful number, since it uses less digits than its factorization.

73641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24550.

The product of its digits is 504, while the sum is 21.

The square root of 73641 is about 271.3687528070. The cubic root of 73641 is about 41.9153624344.

Subtracting from 73641 its product of digits (504), we obtain a palindrome (73137).

It can be divided in two parts, 736 and 41, that added together give a palindrome (777).

The spelling of 73641 in words is "seventy-three thousand, six hundred forty-one".