84066372 has 72 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 25730496.

The previous prime is 84066347. The next prime is 84066373. The reversal of 84066372 is 27366048.

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

It is not an unprimeable number, because it can be changed into a prime (84066373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122743 + ... + 123425.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 2^84066372 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 84066372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

84066372 is an abundant number, since it is smaller than the sum of its proper divisors (145987452).

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

84066372 is a wasteful number, since it uses less digits than its factorization.

84066372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 84066372 is about 9168.7715643918. The cubic root of 84066372 is about 438.0672318138.

The spelling of 84066372 in words is "eighty-four million, sixty-six thousand, three hundred seventy-two".