82720344 has 64 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 23278464.

The previous prime is 82720327. The next prime is 82720361. The reversal of 82720344 is 44302728.

It is an interprime number because it is at equal distance from previous prime (82720327) and next prime (82720361).

It is a super-2 number, since 2×82720344² = 13685310622956672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7582 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^82720344 is an apocalyptic number.

82720344 is a gapful number since it is divisible by the number (84) 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 82720344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

82720344 is an abundant number, since it is smaller than the sum of its proper divisors (157183656).

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

82720344 is a wasteful number, since it uses less digits than its factorization.

82720344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 82720344 is about 9095.0725120804. The cubic root of 82720344 is about 435.7166045461.

The spelling of 82720344 in words is "eighty-two million, seven hundred twenty thousand, three hundred forty-four".