84705872 has 80 divisors (see below), whose sum is σ = 180309888. Its totient is φ = 38438400.

The previous prime is 84705871. The next prime is 84705893. The reversal of 84705872 is 27850748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84705871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838622 + ... + 838722.

Almost surely, 2^84705872 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 84705872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90154944).

84705872 is an abundant number, since it is smaller than the sum of its proper divisors (95604016).

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

84705872 is a wasteful number, since it uses less digits than its factorization.

84705872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 84705872 is about 9203.5793037274. The cubic root of 84705872 is about 439.1752318197.

The spelling of 84705872 in words is "eighty-four million, seven hundred five thousand, eight hundred seventy-two".