72205225 has 24 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 53928000.

The previous prime is 72205219. The next prime is 72205247. The reversal of 72205225 is 52250227.

It is not a de Polignac number, because 72205225 - 2⁵ = 72205193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 72205225.

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 23 ways as a sum of consecutive naturals, for example, 32655 + ... + 34795.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^72205225 is an apocalyptic number.

It is an amenable number.

72205225 is a deficient number, since it is larger than the sum of its proper divisors (23413655).

72205225 is a wasteful number, since it uses less digits than its factorization.

72205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 72205225 is about 8497.3657682837. The cubic root of 72205225 is about 416.4116537338.

The spelling of 72205225 in words is "seventy-two million, two hundred five thousand, two hundred twenty-five".