7978272 has 48 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 2593280.

The previous prime is 7978247. The next prime is 7978279. The reversal of 7978272 is 2728797.

7978272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 7⁷ + 9⁶ + 7⁷ + 8⁵ + 2⁷ + 7⁸ + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (7978279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2923 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^7978272 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 7978272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

7978272 is an abundant number, since it is smaller than the sum of its proper divisors (13486080).

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

7978272 is a wasteful number, since it uses less digits than its factorization.

7978272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2073 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 7978272 is about 2824.5835091213. The cubic root of 7978272 is about 199.8187691599.

The spelling of 7978272 in words is "seven million, nine hundred seventy-eight thousand, two hundred seventy-two".