84571872 has 192 divisors, whose sum is σ = 293497344. Its totient is φ = 20643840.

The previous prime is 84571871. The next prime is 84571913. The reversal of 84571872 is 27817548.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84571871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125328 + ... + 126000.

It is an arithmetic number, because the mean of its divisors is an integer number (1528632).

Almost surely, 2^84571872 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 84571872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146748672).

84571872 is an abundant number, since it is smaller than the sum of its proper divisors (208925472).

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

84571872 is a wasteful number, since it uses less digits than its factorization.

84571872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 84571872 is about 9196.2966459331. The cubic root of 84571872 is about 438.9435259604.

The spelling of 84571872 in words is "eighty-four million, five hundred seventy-one thousand, eight hundred seventy-two".