84272500 has 60 divisors (see below), whose sum is σ = 198539572. Its totient is φ = 31104000.

The previous prime is 84272479. The next prime is 84272549. The reversal of 84272500 is 527248.

It can be written as a sum of positive squares in 10 ways, for example, as 73891216 + 10381284 = 8596^2 + 3222^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31204 + ... + 33796.

Almost surely, 2^84272500 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 84272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99269786).

84272500 is an abundant number, since it is smaller than the sum of its proper divisors (114267072).

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

84272500 is a wasteful number, since it uses less digits than its factorization.

84272500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 84272500 is about 9180.0054466215. The cubic root of 84272500 is about 438.4249817601.

Adding to 84272500 its reverse (527248), we get a palindrome (84799748).

The spelling of 84272500 in words is "eighty-four million, two hundred seventy-two thousand, five hundred".