6872125 has 16 divisors (see below), whose sum is σ = 9238320. Its totient is φ = 5073600.

The previous prime is 6872119. The next prime is 6872137. The reversal of 6872125 is 5212786.

It can be written as a sum of positive squares in 8 ways, for example, as 1240996 + 5631129 = 1114^2 + 2373^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6872125 is a prime.

It is a super-2 number, since 2×6872125² = 94452204031250, which contains 22 as substring.

6872125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 490 + ... + 3739.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 2^6872125 is an apocalyptic number.

6872125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6872125 is a deficient number, since it is larger than the sum of its proper divisors (2366195).

6872125 is a wasteful number, since it uses less digits than its factorization.

6872125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4247 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 6872125 is about 2621.4738221085. The cubic root of 6872125 is about 190.1211139163.

The spelling of 6872125 in words is "six million, eight hundred seventy-two thousand, one hundred twenty-five".