82022272 has 32 divisors (see below), whose sum is σ = 166188600. Its totient is φ = 40312320.

The previous prime is 82022267. The next prime is 82022273. The reversal of 82022272 is 27222028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82022273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2122 + ... + 12982.

Almost surely, 2^82022272 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 82022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83094300).

82022272 is an abundant number, since it is smaller than the sum of its proper divisors (84166328).

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

82022272 is a wasteful number, since it uses less digits than its factorization.

82022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 82022272 is about 9056.6148201190. The cubic root of 82022272 is about 434.4874784682.

The spelling of 82022272 in words is "eighty-two million, twenty-two thousand, two hundred seventy-two".