7782272 has 32 divisors (see below), whose sum is σ = 15640680. Its totient is φ = 3856896.

The previous prime is 7782263. The next prime is 7782283. The reversal of 7782272 is 2722877.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20678 + ... + 21050.

Almost surely, 2^7782272 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 7782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7820340).

7782272 is an abundant number, since it is smaller than the sum of its proper divisors (7858408).

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

7782272 is a wasteful number, since it uses less digits than its factorization.

7782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 7782272 is about 2789.6723821983. The cubic root of 7782272 is about 198.1688862767.

The spelling of 7782272 in words is "seven million, seven hundred eighty-two thousand, two hundred seventy-two".