84819072 has 96 divisors (see below), whose sum is σ = 244151280. Its totient is φ = 26078208.

The previous prime is 84819041. The next prime is 84819073. The reversal of 84819072 is 27091848.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84819072.

It is not an unprimeable number, because it can be changed into a prime (84819073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64243 + ... + 65549.

Almost surely, 2^84819072 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 84819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122075640).

84819072 is an abundant number, since it is smaller than the sum of its proper divisors (159332208).

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

84819072 is a wasteful number, since it uses less digits than its factorization.

84819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 84819072 is about 9209.7270317855. The cubic root of 84819072 is about 439.3707810595.

The spelling of 84819072 in words is "eighty-four million, eight hundred nineteen thousand, seventy-two".