82712736 has 72 divisors (see below), whose sum is σ = 240720480. Its totient is φ = 26925696.

The previous prime is 82712689. The next prime is 82712753. The reversal of 82712736 is 63721728.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82712736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9045 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (3343340).

Almost surely, 2^82712736 is an apocalyptic number.

82712736 is a gapful number since it is divisible by the number (86) 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 82712736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120360240).

82712736 is an abundant number, since it is smaller than the sum of its proper divisors (158007744).

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

82712736 is a wasteful number, since it uses less digits than its factorization.

82712736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6727 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82712736 is about 9094.6542540110. The cubic root of 82712736 is about 435.7032461492.

The spelling of 82712736 in words is "eighty-two million, seven hundred twelve thousand, seven hundred thirty-six".