72284225 has 24 divisors (see below), whose sum is σ = 97103160. Its totient is φ = 53061120.

The previous prime is 72284203. The next prime is 72284237. The reversal of 72284225 is 52248227.

It can be written as a sum of positive squares in 12 ways, for example, as 26708224 + 45576001 = 5168^2 + 6751^2 .

It is not a de Polignac number, because 72284225 - 2⁸ = 72283969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72284191 and 72284200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63461 + ... + 64589.

It is an arithmetic number, because the mean of its divisors is an integer number (4045965).

Almost surely, 2^72284225 is an apocalyptic number.

It is an amenable number.

72284225 is a deficient number, since it is larger than the sum of its proper divisors (24818935).

72284225 is a wasteful number, since it uses less digits than its factorization.

72284225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 72284225 is about 8502.0129969320. The cubic root of 72284225 is about 416.5634642181.

The spelling of 72284225 in words is "seventy-two million, two hundred eighty-four thousand, two hundred twenty-five".