7872957 has 24 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 5190480.

The previous prime is 7872947. The next prime is 7873001. The reversal of 7872957 is 7592787.

7872957 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7872957 - 2¹⁰ = 7871933 is a prime.

7872957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43407 + ... + 43587.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^7872957 is an apocalyptic number.

It is an amenable number.

7872957 is a deficient number, since it is larger than the sum of its proper divisors (4051683).

7872957 is a wasteful number, since it uses less digits than its factorization.

7872957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

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

The square root of 7872957 is about 2805.8790066573. The cubic root of 7872957 is about 198.9356542214.

The spelling of 7872957 in words is "seven million, eight hundred seventy-two thousand, nine hundred fifty-seven".