7878272 has 32 divisors (see below), whose sum is σ = 15968100. Its totient is φ = 3870720.

The previous prime is 7878271. The next prime is 7878289. The reversal of 7878272 is 2728787.

It can be written as a sum of positive squares in 2 ways, for example, as 6677056 + 1201216 = 2584^2 + 1096^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7878271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7304 + ... + 8312.

Almost surely, 2^7878272 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 7878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984050).

7878272 is an abundant number, since it is smaller than the sum of its proper divisors (8089828).

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

7878272 is a wasteful number, since it uses less digits than its factorization.

7878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its digits is 87808, while the sum is 41.

The square root of 7878272 is about 2806.8259653922. The cubic root of 7878272 is about 198.9804110243.

The spelling of 7878272 in words is "seven million, eight hundred seventy-eight thousand, two hundred seventy-two".