82222272 has 168 divisors, whose sum is σ = 271028160. Its totient is φ = 23569920.

The previous prime is 82222241. The next prime is 82222289. The reversal of 82222272 is 27222228.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120043 + ... + 120725.

Almost surely, 2^82222272 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 82222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

82222272 is an abundant number, since it is smaller than the sum of its proper divisors (188805888).

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

82222272 is a wasteful number, since it uses less digits than its factorization.

82222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 82222272 is about 9067.6497506245. The cubic root of 82222272 is about 434.8403377583.

The spelling of 82222272 in words is "eighty-two million, two hundred twenty-two thousand, two hundred seventy-two".