72852205 has 8 divisors (see below), whose sum is σ = 90437400. Its totient is φ = 56271936.

The previous prime is 72852193. The next prime is 72852211. The reversal of 72852205 is 50225827.

It can be written as a sum of positive squares in 4 ways, for example, as 12432676 + 60419529 = 3526^2 + 7773^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72852205 - 2⁵ = 72852173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251070 + ... + 251359.

It is an arithmetic number, because the mean of its divisors is an integer number (11304675).

Almost surely, 2^72852205 is an apocalyptic number.

It is an amenable number.

72852205 is a deficient number, since it is larger than the sum of its proper divisors (17585195).

72852205 is a wasteful number, since it uses less digits than its factorization.

72852205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502463.

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 72852205 is about 8535.3503150134. The cubic root of 72852205 is about 417.6516809353.

The spelling of 72852205 in words is "seventy-two million, eight hundred fifty-two thousand, two hundred five".