82739712 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 24350720.

The previous prime is 82739711. The next prime is 82739759. The reversal of 82739712 is 21793728.

It is not an unprimeable number, because it can be changed into a prime (82739711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996823 + ... + 996905.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^82739712 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 82739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

82739712 is an abundant number, since it is smaller than the sum of its proper divisors (164744448).

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

82739712 is a wasteful number, since it uses less digits than its factorization.

82739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 82739712 is about 9096.1372021315. The cubic root of 82739712 is about 435.7506078728.

The spelling of 82739712 in words is "eighty-two million, seven hundred thirty-nine thousand, seven hundred twelve".