72656225 has 12 divisors (see below), whose sum is σ = 90359916. Its totient is φ = 57953280.

The previous prime is 72656183. The next prime is 72656237. The reversal of 72656225 is 52265627.

It can be written as a sum of positive squares in 6 ways, for example, as 8720209 + 63936016 = 2953^2 + 7996^2 .

It is not a de Polignac number, because 72656225 - 2⁸ = 72655969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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, 4709 + ... + 12941.

It is an arithmetic number, because the mean of its divisors is an integer number (7529993).

Almost surely, 2^72656225 is an apocalyptic number.

It is an amenable number.

72656225 is a deficient number, since it is larger than the sum of its proper divisors (17703691).

72656225 is a wasteful number, since it uses less digits than its factorization.

72656225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8591 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 72656225 is about 8523.8620941449. The cubic root of 72656225 is about 417.2768358063.

It can be divided in two parts, 7265622 and 5, that added together give a palindrome (7265627).

The spelling of 72656225 in words is "seventy-two million, six hundred fifty-six thousand, two hundred twenty-five".