72300225 has 48 divisors (see below), whose sum is σ = 127224000. Its totient is φ = 36126720.

The previous prime is 72300209. The next prime is 72300229. The reversal of 72300225 is 52200327.

It is not a de Polignac number, because 72300225 - 2⁴ = 72300209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72300229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 160801 + ... + 161249.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2^72300225 is an apocalyptic number.

72300225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72300225 is a deficient number, since it is larger than the sum of its proper divisors (54923775).

72300225 is a wasteful number, since it uses less digits than its factorization.

72300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 72300225 is about 8502.9538984990. The cubic root of 72300225 is about 416.5941971741.

The spelling of 72300225 in words is "seventy-two million, three hundred thousand, two hundred twenty-five".