772251 has 8 divisors (see below), whose sum is σ = 1047360. Its totient is φ = 505992.

The previous prime is 772231. The next prime is 772273. The reversal of 772251 is 152277.

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

It is not a de Polignac number, because 772251 - 2⁹ = 771739 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772251.

It is not an unprimeable number, because it can be changed into a prime (772231) 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, 2005 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (130920).

2⁷⁷²²⁵¹ is an apocalyptic number.

772251 is a deficient number, since it is larger than the sum of its proper divisors (275109).

772251 is a wasteful number, since it uses less digits than its factorization.

772251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425.

The product of its digits is 980, while the sum is 24.

The square root of 772251 is about 878.7781289950. The cubic root of 772251 is about 91.7457932028.

The spelling of 772251 in words is "seven hundred seventy-two thousand, two hundred fifty-one".