84117072 has 80 divisors (see below), whose sum is σ = 244234368. Its totient is φ = 24752640.

The previous prime is 84117031. The next prime is 84117091. The reversal of 84117072 is 27071148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11422 + ... + 17282.

Almost surely, 2^84117072 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 84117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122117184).

84117072 is an abundant number, since it is smaller than the sum of its proper divisors (160117296).

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

84117072 is a wasteful number, since it uses less digits than its factorization.

84117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 84117072 is about 9171.5359673285. The cubic root of 84117072 is about 438.1552794866.

The spelling of 84117072 in words is "eighty-four million, one hundred seventeen thousand, seventy-two".