72854521 has 2 divisors, whose sum is σ = 72854522. Its totient is φ = 72854520.

The previous prime is 72854519. The next prime is 72854533. The reversal of 72854521 is 12545827.

72854521 = 6035² + 6036².

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36433296 + 36421225 = 6036^2 + 6035^2 .

It is a cyclic number.

It is not a de Polignac number, because 72854521 - 2¹ = 72854519 is a prime.

Together with 72854519, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72854021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36427260 + 36427261.

It is an arithmetic number, because the mean of its divisors is an integer number (36427261).

Almost surely, 2^72854521 is an apocalyptic number.

72854521 is the 6036-th centered square number.

It is an amenable number.

72854521 is a deficient number, since it is larger than the sum of its proper divisors (1).

72854521 is an equidigital number, since it uses as much as digits as its factorization.

72854521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22400, while the sum is 34.

The square root of 72854521 is about 8535.4859849923. The cubic root of 72854521 is about 417.6561066584.

The spelling of 72854521 in words is "seventy-two million, eight hundred fifty-four thousand, five hundred twenty-one".