72563825 has 12 divisors (see below), whose sum is σ = 91214028. Its totient is φ = 57254400.

The previous prime is 72563819. The next prime is 72563893. The reversal of 72563825 is 52836527.

It can be written as a sum of positive squares in 6 ways, for example, as 8755681 + 63808144 = 2959^2 + 7988^2 .

It is not a de Polignac number, because 72563825 - 2¹⁴ = 72547441 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 11 ways as a sum of consecutive naturals, for example, 18056 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (7601169).

Almost surely, 2^72563825 is an apocalyptic number.

It is an amenable number.

72563825 is a deficient number, since it is larger than the sum of its proper divisors (18650203).

72563825 is a wasteful number, since it uses less digits than its factorization.

72563825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39844 (or 39839 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 72563825 is about 8518.4402915088. The cubic root of 72563825 is about 417.0998712228.

The spelling of 72563825 in words is "seventy-two million, five hundred sixty-three thousand, eight hundred twenty-five".