82066272 has 48 divisors (see below), whose sum is σ = 216422640. Its totient is φ = 27228672.

The previous prime is 82066261. The next prime is 82066307. The reversal of 82066272 is 27266028.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20118 + ... + 23850.

It is an arithmetic number, because the mean of its divisors is an integer number (4508805).

Almost surely, 2^82066272 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 82066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108211320).

82066272 is an abundant number, since it is smaller than the sum of its proper divisors (134356368).

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

82066272 is a wasteful number, since it uses less digits than its factorization.

82066272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 82066272 is about 9059.0436581352. The cubic root of 82066272 is about 434.5651566855.

The spelling of 82066272 in words is "eighty-two million, sixty-six thousand, two hundred seventy-two".