82872720 has 420 divisors, whose sum is σ = 347639580. Its totient is φ = 18289152.

The previous prime is 82872701. The next prime is 82872721. The reversal of 82872720 is 2727828.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 46294416 = 6048^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82872721) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857666 + ... + 2857694.

Almost surely, 2^82872720 is an apocalyptic number.

82872720 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 82872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173819790).

82872720 is an abundant number, since it is smaller than the sum of its proper divisors (264766860).

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

82872720 is a wasteful number, since it uses less digits than its factorization.

82872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 82872720 is about 9103.4455015670. The cubic root of 82872720 is about 435.9839794355.

The spelling of 82872720 in words is "eighty-two million, eight hundred seventy-two thousand, seven hundred twenty".