82180272 has 40 divisors (see below), whose sum is σ = 213865776. Its totient is φ = 27191296.

The previous prime is 82180271. The next prime is 82180279. The reversal of 82180272 is 27208128.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82180271) 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, 328 + ... + 12824.

Almost surely, 2^82180272 is an apocalyptic number.

It is an amenable number.

82180272 is an abundant number, since it is smaller than the sum of its proper divisors (131685504).

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

82180272 is a wasteful number, since it uses less digits than its factorization.

82180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12645 (or 12639 counting only the distinct ones).

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

The square root of 82180272 is about 9065.3335294406. Note that the first 3 decimals coincide. The cubic root of 82180272 is about 434.7662848109.

The spelling of 82180272 in words is "eighty-two million, one hundred eighty thousand, two hundred seventy-two".