73541 has 4 divisors (see below), whose sum is σ = 79212. Its totient is φ = 67872.

The previous prime is 73529. The next prime is 73547. The reversal of 73541 is 14537.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9025 + 64516 = 95^2 + 254^2 .

It is a cyclic number.

It is not a de Polignac number, because 73541 - 2⁶ = 73477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73547) 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, 2816 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (19803).

2⁷³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

73541 is a deficient number, since it is larger than the sum of its proper divisors (5671).

73541 is a wasteful number, since it uses less digits than its factorization.

73541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670.

The product of its digits is 420, while the sum is 20.

The square root of 73541 is about 271.1844390816. The cubic root of 73541 is about 41.8963810022.

It can be divided in two parts, 735 and 41, that multiplied together give a triangular number (30135 = T₂₄₅).

The spelling of 73541 in words is "seventy-three thousand, five hundred forty-one".