772752 has 40 divisors (see below), whose sum is σ = 2115936. Its totient is φ = 242176.

The previous prime is 772721. The next prime is 772757. The reversal of 772752 is 257277.

It is not an unprimeable number, because it can be changed into a prime (772757) by changing a digit.

772752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343 + ... + 1289.

2⁷⁷²⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057968).

772752 is an abundant number, since it is smaller than the sum of its proper divisors (1343184).

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

772752 is a wasteful number, since it uses less digits than its factorization.

772752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 969 counting only the distinct ones).

The product of its digits is 6860, while the sum is 30.

The square root of 772752 is about 879.0631376642. The cubic root of 772752 is about 91.7656290273.

It can be divided in two parts, 77275 and 2, that added together give a palindrome (77277).

The spelling of 772752 in words is "seven hundred seventy-two thousand, seven hundred fifty-two".