872100180 has 216 divisors, whose sum is σ = 3134931072. Its totient is φ = 192229632.

The previous prime is 872100167. The next prime is 872100199. The reversal of 872100180 is 81001278.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1059249 + ... + 1060071.

Almost surely, 2^872100180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872100180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567465536).

872100180 is an abundant number, since it is smaller than the sum of its proper divisors (2262830892).

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

872100180 is a wasteful number, since it uses less digits than its factorization.

872100180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 872100180 is about 29531.3423331890. The cubic root of 872100180 is about 955.4078208498.

The spelling of 872100180 in words is "eight hundred seventy-two million, one hundred thousand, one hundred eighty".