82752020 has 48 divisors (see below), whose sum is σ = 193202688. Its totient is φ = 29566080.

The previous prime is 82752001. The next prime is 82752023. The reversal of 82752020 is 2025728.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82752023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2927 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (4025056).

Almost surely, 2^82752020 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 82752020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96601344).

82752020 is an abundant number, since it is smaller than the sum of its proper divisors (110450668).

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

82752020 is a wasteful number, since it uses less digits than its factorization.

82752020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 82752020 is about 9096.8137278940. The cubic root of 82752020 is about 435.7722135905.

Adding to 82752020 its reverse (2025728), we get a palindrome (84777748).

The spelling of 82752020 in words is "eighty-two million, seven hundred fifty-two thousand, twenty".