72481 has 2 divisors, whose sum is σ = 72482. Its totient is φ = 72480.

The previous prime is 72469. The next prime is 72493. The reversal of 72481 is 18427.

It is a balanced prime because it is at equal distance from previous prime (72469) and next prime (72493).

It can be written as a sum of positive squares in only one way, i.e., 58081 + 14400 = 241^2 + 120^2 .

It is an emirp because it is prime and its reverse (18427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72481 - 2⁷ = 72353 is a prime.

It is a super-2 number, since 2×72481² = 10506990722, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72421) 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 as a sum of consecutive naturals, namely, 36240 + 36241.

It is an arithmetic number, because the mean of its divisors is an integer number (36241).

2⁷²⁴⁸¹ is an apocalyptic number.

It is an amenable number.

72481 is a deficient number, since it is larger than the sum of its proper divisors (1).

72481 is an equidigital number, since it uses as much as digits as its factorization.

72481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 448, while the sum is 22.

The square root of 72481 is about 269.2229559306. Note that the first 3 decimals coincide. The cubic root of 72481 is about 41.6941116963.

The spelling of 72481 in words is "seventy-two thousand, four hundred eighty-one".