72261 has 24 divisors (see below), whose sum is σ = 126464. Its totient is φ = 38880.

The previous prime is 72253. The next prime is 72269. The reversal of 72261 is 16227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72253) and next prime (72269).

It is not a de Polignac number, because 72261 - 2³ = 72253 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935 + ... + 1971.

2⁷²²⁶¹ is an apocalyptic number.

It is an amenable number.

72261 is a deficient number, since it is larger than the sum of its proper divisors (54203).

72261 is a wasteful number, since it uses less digits than its factorization.

72261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 78 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 72261 is about 268.8140621322. The cubic root of 72261 is about 41.6518845341.

Adding to 72261 its reverse (16227), we get a palindrome (88488).

It can be divided in two parts, 7226 and 1, that added together give a palindrome (7227).

The spelling of 72261 in words is "seventy-two thousand, two hundred sixty-one".