7945872 has 80 divisors (see below), whose sum is σ = 22766400. Its totient is φ = 2368000.

The previous prime is 7945849. The next prime is 7945897. The reversal of 7945872 is 2785497.

7945872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53254 + ... + 53402.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^7945872 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 7945872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

7945872 is an abundant number, since it is smaller than the sum of its proper divisors (14820528).

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

7945872 is a wasteful number, since it uses less digits than its factorization.

7945872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 7945872 is about 2818.8423155615. The cubic root of 7945872 is about 199.5479121864.

It can be divided in two parts, 794 and 5872, that added together give a palindrome (6666).

The spelling of 7945872 in words is "seven million, nine hundred forty-five thousand, eight hundred seventy-two".