82524720 has 160 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 20823040.

The previous prime is 82524719. The next prime is 82524731. The reversal of 82524720 is 2742528.

It is a super-2 number, since 2×82524720² = 13620658822156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494077 + ... + 494243.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^82524720 is an apocalyptic number.

82524720 is a gapful number since it is divisible by the number (80) 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 82524720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

82524720 is an abundant number, since it is smaller than the sum of its proper divisors (187458000).

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

82524720 is a wasteful number, since it uses less digits than its factorization.

82524720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82524720 is about 9084.3117515858. The cubic root of 82524720 is about 435.3728603879.

The spelling of 82524720 in words is "eighty-two million, five hundred twenty-four thousand, seven hundred twenty".