7872137 has 32 divisors (see below), whose sum is σ = 10617600. Its totient is φ = 5660928.

The previous prime is 7872131. The next prime is 7872149. The reversal of 7872137 is 7312787.

It is not a de Polignac number, because 7872137 - 2¹⁰ = 7871113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7872097 and 7872106.

It is not an unprimeable number, because it can be changed into a prime (7872131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50063 + ... + 50219.

It is an arithmetic number, because the mean of its divisors is an integer number (331800).

Almost surely, 2^7872137 is an apocalyptic number.

It is an amenable number.

7872137 is a deficient number, since it is larger than the sum of its proper divisors (2745463).

7872137 is a wasteful number, since it uses less digits than its factorization.

7872137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its digits is 16464, while the sum is 35.

The square root of 7872137 is about 2805.7328810847. The cubic root of 7872137 is about 198.9287473332.

The spelling of 7872137 in words is "seven million, eight hundred seventy-two thousand, one hundred thirty-seven".