772122 has 32 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 224640.

The previous prime is 772097. The next prime is 772127. The reversal of 772122 is 221277.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772122.

It is not an unprimeable number, because it can be changed into a prime (772127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (54810).

2⁷⁷²¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

772122 is an abundant number, since it is smaller than the sum of its proper divisors (981798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

772122 is a wasteful number, since it uses less digits than its factorization.

772122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558.

The product of its digits is 392, while the sum is 21.

The square root of 772122 is about 878.7047285636. The cubic root of 772122 is about 91.7406843861.

Adding to 772122 its reverse (221277), we get a palindrome (993399).

The spelling of 772122 in words is "seven hundred seventy-two thousand, one hundred twenty-two", and thus it is an iban number.