72005825 has 12 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 57148560.

The previous prime is 72005819. The next prime is 72005827. The reversal of 72005825 is 52850027.

It is not a de Polignac number, because 72005825 - 2¹² = 72001729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72005827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8165 + ... + 14514.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^72005825 is an apocalyptic number.

It is an amenable number.

72005825 is a deficient number, since it is larger than the sum of its proper divisors (17988415).

72005825 is a wasteful number, since it uses less digits than its factorization.

72005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22816 (or 22811 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 72005825 is about 8485.6246087133. The cubic root of 72005825 is about 416.0279832785.

The spelling of 72005825 in words is "seventy-two million, five thousand, eight hundred twenty-five".