772205 has 8 divisors (see below), whose sum is σ = 1059072. Its totient is φ = 529488.

The previous prime is 772181. The next prime is 772207. The reversal of 772205 is 502277.

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 772205 - 2¹⁰ = 771181 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772205.

It is not an unprimeable number, because it can be changed into a prime (772207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10997 + ... + 11066.

It is an arithmetic number, because the mean of its divisors is an integer number (132384).

2⁷⁷²²⁰⁵ is an apocalyptic number.

It is an amenable number.

772205 is a deficient number, since it is larger than the sum of its proper divisors (286867).

772205 is a wasteful number, since it uses less digits than its factorization.

772205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22075.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 772205 is about 878.7519559011. The cubic root of 772205 is about 91.7439715195.

The spelling of 772205 in words is "seven hundred seventy-two thousand, two hundred five".