772267 has 8 divisors (see below), whose sum is σ = 799200. Its totient is φ = 745920.

The previous prime is 772231. The next prime is 772273. The reversal of 772267 is 762277.

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 772267 - 2⁷ = 772139 is a prime.

It is a Duffinian number.

772267 is a lucky number.

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, 5109 + ... + 5257.

It is an arithmetic number, because the mean of its divisors is an integer number (99900).

2⁷⁷²²⁶⁷ is an apocalyptic number.

772267 is a deficient number, since it is larger than the sum of its proper divisors (26933).

772267 is a wasteful number, since it uses less digits than its factorization.

772267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its digits is 8232, while the sum is 31.

The square root of 772267 is about 878.7872324972. The cubic root of 772267 is about 91.7464268148.

The spelling of 772267 in words is "seven hundred seventy-two thousand, two hundred sixty-seven".