82729746 has 48 divisors (see below), whose sum is σ = 196324128. Its totient is φ = 24969600.

The previous prime is 82729739. The next prime is 82729747. The reversal of 82729746 is 64792728.

It is not an unprimeable number, because it can be changed into a prime (82729747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60106 + ... + 61466.

It is an arithmetic number, because the mean of its divisors is an integer number (4090086).

Almost surely, 2^82729746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82729746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98162064).

82729746 is an abundant number, since it is smaller than the sum of its proper divisors (113594382).

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

82729746 is a wasteful number, since it uses less digits than its factorization.

82729746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1684 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 82729746 is about 9095.5893706785. The cubic root of 82729746 is about 435.7331117805.

The spelling of 82729746 in words is "eighty-two million, seven hundred twenty-nine thousand, seven hundred forty-six".