782272 has 28 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 367616.

The previous prime is 782267. The next prime is 782297. The reversal of 782272 is 272287.

It is a super-2 number, since 2×782272² = 1223898963968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 782272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 729 + ... + 1447.

2⁷⁸²²⁷² 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 782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

782272 is an abundant number, since it is smaller than the sum of its proper divisors (863648).

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

782272 is a wasteful number, since it uses less digits than its factorization.

782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 782272 is about 884.4614180392. The cubic root of 782272 is about 92.1409308218.

The spelling of 782272 in words is "seven hundred eighty-two thousand, two hundred seventy-two".