799272 has 48 divisors (see below), whose sum is σ = 2295540. Its totient is φ = 250368.

The previous prime is 799259. The next prime is 799291. The reversal of 799272 is 272997.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 36 = 894^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

799272 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 898 + ... + 1550.

2⁷⁹⁹²⁷² is an apocalyptic number.

799272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147770).

799272 is an abundant number, since it is smaller than the sum of its proper divisors (1496268).

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

799272 is a wasteful number, since it uses less digits than its factorization.

799272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 675 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 799272 is about 894.0201340015. The cubic root of 799272 is about 92.8036091541.

Subtracting from 799272 its sum of digits (36), we obtain a square (799236 = 894²).

The spelling of 799272 in words is "seven hundred ninety-nine thousand, two hundred seventy-two".