772352 has 36 divisors (see below), whose sum is σ = 1766016. Its totient is φ = 330240.

The previous prime is 772349. The next prime is 772367. The reversal of 772352 is 253277.

It is a super-2 number, since 2×772352² = 1193055223808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1577 + ... + 2007.

It is an arithmetic number, because the mean of its divisors is an integer number (49056).

2⁷⁷²³⁵² 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 772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008).

772352 is an abundant number, since it is smaller than the sum of its proper divisors (993664).

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

772352 is an equidigital number, since it uses as much as digits as its factorization.

772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its digits is 2940, while the sum is 26.

The square root of 772352 is about 878.8355932710. The cubic root of 772352 is about 91.7497927319.

The spelling of 772352 in words is "seven hundred seventy-two thousand, three hundred fifty-two".