82570752 has 200 divisors, whose sum is σ = 270342072. Its totient is φ = 24883200.

The previous prime is 82570727. The next prime is 82570753. The reversal of 82570752 is 25707528.

82570752 is a `hidden beast` number, since 82 + 570 + 7 + 5 + 2 = 666.

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 (82570753) by changing a digit.

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, 456102 + ... + 456282.

Almost surely, 2^82570752 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 82570752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135171036).

82570752 is an abundant number, since it is smaller than the sum of its proper divisors (187771320).

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

82570752 is a wasteful number, since it uses less digits than its factorization.

82570752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 82570752 is about 9086.8449970273. The cubic root of 82570752 is about 435.4537951607.

The spelling of 82570752 in words is "eighty-two million, five hundred seventy thousand, seven hundred fifty-two".