84082752 has 224 divisors, whose sum is σ = 281635200. Its totient is φ = 24385536.

The previous prime is 84082717. The next prime is 84082753. The reversal of 84082752 is 25728048.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (84082753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426718 + ... + 426914.

It is an arithmetic number, because the mean of its divisors is an integer number (1257300).

Almost surely, 2^84082752 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 84082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817600).

84082752 is an abundant number, since it is smaller than the sum of its proper divisors (197552448).

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

84082752 is a wasteful number, since it uses less digits than its factorization.

84082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84082752 is about 9169.6647703174. The cubic root of 84082752 is about 438.0956818551.

The spelling of 84082752 in words is "eighty-four million, eighty-two thousand, seven hundred fifty-two".