82486272 has 88 divisors (see below), whose sum is σ = 239941152. Its totient is φ = 24985600.

The previous prime is 82486249. The next prime is 82486273. The reversal of 82486272 is 27268428.

It is a tau number, because it is divible by the number of its divisors (88).

It is a cake number, because a cake can be divided into 82486272 parts by 791 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 82486272.

It is not an unprimeable number, because it can be changed into a prime (82486273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32572 + ... + 35012.

It is an arithmetic number, because the mean of its divisors is an integer number (2726604).

Almost surely, 2^82486272 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 82486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119970576).

82486272 is an abundant number, since it is smaller than the sum of its proper divisors (157454880).

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

82486272 is a wasteful number, since it uses less digits than its factorization.

82486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2457 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 82486272 is about 9082.1953293243. The cubic root of 82486272 is about 435.3052369494.

The spelling of 82486272 in words is "eighty-two million, four hundred eighty-six thousand, two hundred seventy-two".