82727216 has 120 divisors (see below), whose sum is σ = 200872560. Its totient is φ = 32693760.

The previous prime is 82727213. The next prime is 82727237. The reversal of 82727216 is 61272728.

It is a super-2 number, since 2×82727216² = 13687584534221312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82727213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478106 + ... + 478278.

It is an arithmetic number, because the mean of its divisors is an integer number (1673938).

Almost surely, 2^82727216 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 82727216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100436280).

82727216 is an abundant number, since it is smaller than the sum of its proper divisors (118145344).

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

82727216 is a wasteful number, since it uses less digits than its factorization.

82727216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 82727216 is about 9095.4502912170. The cubic root of 82727216 is about 435.7286699440.

The spelling of 82727216 in words is "eighty-two million, seven hundred twenty-seven thousand, two hundred sixteen".