73261 has 4 divisors (see below), whose sum is σ = 74524. Its totient is φ = 72000.

The previous prime is 73259. The next prime is 73277. The reversal of 73261 is 16237.

It is the 111-st star number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16237 = 13 ⋅1249.

It can be written as a sum of positive squares in 2 ways, for example, as 900 + 72361 = 30^2 + 269^2 .

It is a 3-Lehmer number, since φ(73261) divides (73261-1)³.

It is a cyclic number.

It is not a de Polignac number, because 73261 - 2¹ = 73259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73291) 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, 540 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (18631).

2⁷³²⁶¹ is an apocalyptic number.

It is an amenable number.

73261 is a deficient number, since it is larger than the sum of its proper divisors (1263).

73261 is a wasteful number, since it uses less digits than its factorization.

73261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262.

The product of its digits is 252, while the sum is 19.

The square root of 73261 is about 270.6676929373. The cubic root of 73261 is about 41.8431412836.

Adding to 73261 its reverse (16237), we get a palindrome (89498).

The spelling of 73261 in words is "seventy-three thousand, two hundred sixty-one".