82081272 has 192 divisors, whose sum is σ = 263520000. Its totient is φ = 21280896.

The previous prime is 82081271. The next prime is 82081277. The reversal of 82081272 is 27218028.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82081271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391179 + ... + 1391237.

It is an arithmetic number, because the mean of its divisors is an integer number (1372500).

Almost surely, 2^82081272 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 82081272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131760000).

82081272 is an abundant number, since it is smaller than the sum of its proper divisors (181438728).

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

82081272 is a wasteful number, since it uses less digits than its factorization.

82081272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 82081272 is about 9059.8715222679. The cubic root of 82081272 is about 434.5916315498.

The spelling of 82081272 in words is "eighty-two million, eighty-one thousand, two hundred seventy-two".