82735872 has 72 divisors (see below), whose sum is σ = 233187696. Its totient is φ = 25952256.

The previous prime is 82735871. The next prime is 82735879. The reversal of 82735872 is 27853728.

It is not an unprimeable number, because it can be changed into a prime (82735871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9888 + ... + 16224.

It is an arithmetic number, because the mean of its divisors is an integer number (3238718).

Almost surely, 2^82735872 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 82735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116593848).

82735872 is an abundant number, since it is smaller than the sum of its proper divisors (150451824).

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

82735872 is a wasteful number, since it uses less digits than its factorization.

82735872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6359 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 82735872 is about 9095.9261210720. The cubic root of 82735872 is about 435.7438666189.

The spelling of 82735872 in words is "eighty-two million, seven hundred thirty-five thousand, eight hundred seventy-two".