7882272 has 60 divisors (see below), whose sum is σ = 23189166. Its totient is φ = 2626560.

The previous prime is 7882267. The next prime is 7882289. The reversal of 7882272 is 2722887.

It can be written as a sum of positive squares in only one way, i.e., 4511376 + 3370896 = 2124^2 + 1836^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1072 + ... + 4112.

Almost surely, 2^7882272 is an apocalyptic number.

7882272 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 7882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594583).

7882272 is an abundant number, since it is smaller than the sum of its proper divisors (15306894).

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

7882272 is a wasteful number, since it uses less digits than its factorization.

7882272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3046 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 7882272 is about 2807.5384236017. The cubic root of 7882272 is about 199.0140811396.

The spelling of 7882272 in words is "seven million, eight hundred eighty-two thousand, two hundred seventy-two".