872041716 has 288 divisors, whose sum is σ = 2869251840. Its totient is φ = 217147392.

The previous prime is 872041691. The next prime is 872041733. The reversal of 872041716 is 617140278.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6365200 + ... + 6365336.

It is an arithmetic number, because the mean of its divisors is an integer number (9962680).

Almost surely, 2^872041716 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 872041716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434625920).

872041716 is an abundant number, since it is smaller than the sum of its proper divisors (1997210124).

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

872041716 is a wasteful number, since it uses less digits than its factorization.

872041716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 872041716 is about 29530.3524530270. The cubic root of 872041716 is about 955.3864707754.

The spelling of 872041716 in words is "eight hundred seventy-two million, forty-one thousand, seven hundred sixteen".