82736000 has 64 divisors (see below), whose sum is σ = 205742160. Its totient is φ = 33088000.

The previous prime is 82735987. The next prime is 82736047. The reversal of 82736000 is 63728.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 13415 + ... + 18585.

Almost surely, 2^82736000 is an apocalyptic number.

82736000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102871080).

82736000 is an abundant number, since it is smaller than the sum of its proper divisors (123006160).

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

82736000 is an equidigital number, since it uses as much as digits as its factorization.

82736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 82736000 is about 9095.9331571862. The cubic root of 82736000 is about 435.7440913307.

Adding to 82736000 its reverse (63728), we get a palindrome (82799728).

The spelling of 82736000 in words is "eighty-two million, seven hundred thirty-six thousand".