84271872 has 72 divisors (see below), whose sum is σ = 225829296. Its totient is φ = 27897856.

The previous prime is 84271861. The next prime is 84271877. The reversal of 84271872 is 27817248.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84271872.

It is not an unprimeable number, because it can be changed into a prime (84271877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151018 + ... + 151574.

It is an arithmetic number, because the mean of its divisors is an integer number (3136518).

Almost surely, 2^84271872 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 84271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112914648).

84271872 is an abundant number, since it is smaller than the sum of its proper divisors (141557424).

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

84271872 is a wasteful number, since it uses less digits than its factorization.

84271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 84271872 is about 9179.9712417850. The cubic root of 84271872 is about 438.4238927075.

The spelling of 84271872 in words is "eighty-four million, two hundred seventy-one thousand, eight hundred seventy-two".