6872100 has 36 divisors (see below), whose sum is σ = 19884144. Its totient is φ = 1832480.

The previous prime is 6872087. The next prime is 6872113. The reversal of 6872100 is 12786.

It is an interprime number because it is at equal distance from previous prime (6872087) and next prime (6872113).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11154 + ... + 11753.

Almost surely, 2^6872100 is an apocalyptic number.

6872100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6872100 is an abundant number, since it is smaller than the sum of its proper divisors (13012044).

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

6872100 is a wasteful number, since it uses less digits than its factorization.

6872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22924 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 6872100 is about 2621.4690537941. The cubic root of 6872100 is about 190.1208833697.

Adding to 6872100 its reverse (12786), we get a palindrome (6884886).

The spelling of 6872100 in words is "six million, eight hundred seventy-two thousand, one hundred".