82012672 has 80 divisors (see below), whose sum is σ = 191505600. Its totient is φ = 35073024.

The previous prime is 82012661. The next prime is 82012703. The reversal of 82012672 is 27621028.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 82012672.

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, 175383 + ... + 175849.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2^82012672 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 82012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95752800).

82012672 is an abundant number, since it is smaller than the sum of its proper divisors (109492928).

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

82012672 is an frugal number, since it uses more digits than its factorization.

82012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 82012672 is about 9056.0848052566. The cubic root of 82012672 is about 434.4705268019.

The spelling of 82012672 in words is "eighty-two million, twelve thousand, six hundred seventy-two".