72569825 has 6 divisors (see below), whose sum is σ = 89986614. Its totient is φ = 58055840.

The previous prime is 72569801. The next prime is 72569837. The reversal of 72569825 is 52896527.

It can be written as a sum of positive squares in 3 ways, for example, as 12909649 + 59660176 = 3593^2 + 7724^2 .

It is not a de Polignac number, because 72569825 - 2²⁰ = 71521249 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1451372 + ... + 1451421.

It is an arithmetic number, because the mean of its divisors is an integer number (14997769).

Almost surely, 2^72569825 is an apocalyptic number.

It is an amenable number.

72569825 is a deficient number, since it is larger than the sum of its proper divisors (17416789).

72569825 is a wasteful number, since it uses less digits than its factorization.

72569825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902803 (or 2902798 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 72569825 is about 8518.7924613762. The cubic root of 72569825 is about 417.1113669888. Note that the first 3 decimals are identical.

The spelling of 72569825 in words is "seventy-two million, five hundred sixty-nine thousand, eight hundred twenty-five".