84195672 has 96 divisors (see below), whose sum is σ = 234931200. Its totient is φ = 25122240.

The previous prime is 84195667. The next prime is 84195689. The reversal of 84195672 is 27659148.

It is a super-2 number, since 2×84195672² = 14177822367063168, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 229233 + ... + 229599.

It is an arithmetic number, because the mean of its divisors is an integer number (2447200).

Almost surely, 2^84195672 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 84195672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117465600).

84195672 is an abundant number, since it is smaller than the sum of its proper divisors (150735528).

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

84195672 is a wasteful number, since it uses less digits than its factorization.

84195672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 84195672 is about 9175.8199633602. The cubic root of 84195672 is about 438.2917095159.

The spelling of 84195672 in words is "eighty-four million, one hundred ninety-five thousand, six hundred seventy-two".