82646272 has 36 divisors (see below), whose sum is σ = 167330016. Its totient is φ = 40732160.

The previous prime is 82646261. The next prime is 82646303. The reversal of 82646272 is 27264628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15903 + ... + 20449.

It is an arithmetic number, because the mean of its divisors is an integer number (4648056).

Almost surely, 2^82646272 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 82646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83665008).

82646272 is an abundant number, since it is smaller than the sum of its proper divisors (84683744).

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

82646272 is an equidigital number, since it uses as much as digits as its factorization.

82646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4620 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 82646272 is about 9090.9995050049. Note that the first 3 decimals coincide. The cubic root of 82646272 is about 435.5865114439.

The spelling of 82646272 in words is "eighty-two million, six hundred forty-six thousand, two hundred seventy-two".