82870272 has 96 divisors (see below), whose sum is σ = 240251310. Its totient is φ = 27525120.

The previous prime is 82870261. The next prime is 82870273. The reversal of 82870272 is 27207828.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 17842176 = 8064^2 + 4224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (82870273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294772 + ... + 295052.

Almost surely, 2^82870272 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 82870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120125655).

82870272 is an abundant number, since it is smaller than the sum of its proper divisors (157381038).

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

82870272 is an equidigital number, since it uses as much as digits as its factorization.

82870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

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

The square root of 82870272 is about 9103.3110459876. The cubic root of 82870272 is about 435.9796865098.

The spelling of 82870272 in words is "eighty-two million, eight hundred seventy thousand, two hundred seventy-two".