7957872 has 120 divisors (see below), whose sum is σ = 24961200. Its totient is φ = 2426112.

The previous prime is 7957871. The next prime is 7957879. The reversal of 7957872 is 2787597.

7957872 is a `hidden beast` number, since 7 + 9 + 578 + 72 = 666.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7957871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72954 + ... + 73062.

It is an arithmetic number, because the mean of its divisors is an integer number (208010).

Almost surely, 2^7957872 is an apocalyptic number.

7957872 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 7957872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480600).

7957872 is an abundant number, since it is smaller than the sum of its proper divisors (17003328).

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

7957872 is a wasteful number, since it uses less digits than its factorization.

7957872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 7957872 is about 2820.9700459239. The cubic root of 7957872 is about 199.6483152851.

The spelling of 7957872 in words is "seven million, nine hundred fifty-seven thousand, eight hundred seventy-two".