84195072 has 144 divisors (see below), whose sum is σ = 268418080. Its totient is φ = 25878528.

The previous prime is 84195071. The next prime is 84195077. The reversal of 84195072 is 27059148.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84195071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89388 + ... + 90324.

Almost surely, 2^84195072 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 84195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134209040).

84195072 is an abundant number, since it is smaller than the sum of its proper divisors (184223008).

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

84195072 is a wasteful number, since it uses less digits than its factorization.

84195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 84195072 is about 9175.7872686762. The cubic root of 84195072 is about 438.2906683869.

The spelling of 84195072 in words is "eighty-four million, one hundred ninety-five thousand, seventy-two".