84055972 has 72 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 30219840.

The previous prime is 84055967. The next prime is 84055991. The reversal of 84055972 is 27955048.

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, 26529 + ... + 29527.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2^84055972 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 84055972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

84055972 is an abundant number, since it is smaller than the sum of its proper divisors (117040028).

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

84055972 is a wasteful number, since it uses less digits than its factorization.

84055972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 84055972 is about 9168.2044043531. The cubic root of 84055972 is about 438.0491663774.

The spelling of 84055972 in words is "eighty-four million, fifty-five thousand, nine hundred seventy-two".