84123072 has 252 divisors, whose sum is σ = 284579568. Its totient is φ = 23654400.

The previous prime is 84123059. The next prime is 84123097. The reversal of 84123072 is 27032148.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1184797 + ... + 1184867.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2^84123072 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 84123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

84123072 is an abundant number, since it is smaller than the sum of its proper divisors (200456496).

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

84123072 is a wasteful number, since it uses less digits than its factorization.

84123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84123072 is about 9171.8630604692. The cubic root of 84123072 is about 438.1656969881.

The spelling of 84123072 in words is "eighty-four million, one hundred twenty-three thousand, seventy-two".