82729420 has 96 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 29756160.

The previous prime is 82729379. The next prime is 82729441. The reversal of 82729420 is 2492728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996699 + ... + 996781.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^82729420 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 82729420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

82729420 is an abundant number, since it is smaller than the sum of its proper divisors (109758260).

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

82729420 is a wasteful number, since it uses less digits than its factorization.

82729420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82729420 is about 9095.5714498870. The cubic root of 82729420 is about 435.7325394382.

The spelling of 82729420 in words is "eighty-two million, seven hundred twenty-nine thousand, four hundred twenty".