84816072 has 160 divisors (see below), whose sum is σ = 264322080. Its totient is φ = 25194240.

The previous prime is 84816049. The next prime is 84816079. The reversal of 84816072 is 27061848.

84816072 is a `hidden beast` number, since 8 + 48 + 1 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84816079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 520263 + ... + 520425.

It is an arithmetic number, because the mean of its divisors is an integer number (1652013).

Almost surely, 2^84816072 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 84816072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132161040).

84816072 is an abundant number, since it is smaller than the sum of its proper divisors (179506008).

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

84816072 is a wasteful number, since it uses less digits than its factorization.

84816072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 84816072 is about 9209.5641590685. The cubic root of 84816072 is about 439.3656009043.

The spelling of 84816072 in words is "eighty-four million, eight hundred sixteen thousand, seventy-two".