72550205 has 32 divisors (see below), whose sum is σ = 107702784. Its totient is φ = 45686016.

The previous prime is 72550193. The next prime is 72550243. The reversal of 72550205 is 50205527.

It is a cyclic number.

It is not a de Polignac number, because 72550205 - 2⁸ = 72549949 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 143984 + ... + 144486.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2^72550205 is an apocalyptic number.

It is an amenable number.

72550205 is a deficient number, since it is larger than the sum of its proper divisors (35152579).

72550205 is a wasteful number, since it uses less digits than its factorization.

72550205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 72550205 is about 8517.6408118680. The cubic root of 72550205 is about 417.0737734819.

The spelling of 72550205 in words is "seventy-two million, five hundred fifty thousand, two hundred five".