872004672 has 168 divisors, whose sum is σ = 3116348352. Its totient is φ = 226483200.

The previous prime is 872004649. The next prime is 872004689. The reversal of 872004672 is 276400278.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34522 + ... + 54182.

Almost surely, 2^872004672 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 872004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558174176).

872004672 is an abundant number, since it is smaller than the sum of its proper divisors (2244343680).

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

872004672 is a wasteful number, since it uses less digits than its factorization.

872004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 872004672 is about 29529.7252273027. The cubic root of 872004672 is about 955.3729424327.

The spelling of 872004672 in words is "eight hundred seventy-two million, four thousand, six hundred seventy-two".