82172048 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 33965568.

The previous prime is 82172047. The next prime is 82172053. The reversal of 82172048 is 84027128.

It is not an unprimeable number, because it can be changed into a prime (82172047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646961 + ... + 647087.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^82172048 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 82172048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

82172048 is an abundant number, since it is smaller than the sum of its proper divisors (106387312).

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

82172048 is a wasteful number, since it uses less digits than its factorization.

82172048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 82172048 is about 9064.8799219846. The cubic root of 82172048 is about 434.7517815848.

The spelling of 82172048 in words is "eighty-two million, one hundred seventy-two thousand, forty-eight".