82452672 has 84 divisors (see below), whose sum is σ = 241904520. Its totient is φ = 26836992.

The previous prime is 82452661. The next prime is 82452673. The reversal of 82452672 is 27625428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82452673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23104 + ... + 26432.

Almost surely, 2^82452672 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 82452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120952260).

82452672 is an abundant number, since it is smaller than the sum of its proper divisors (159451848).

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

82452672 is a wasteful number, since it uses less digits than its factorization.

82452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3377 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 82452672 is about 9080.3453678811. The cubic root of 82452672 is about 435.2461231033.

The spelling of 82452672 in words is "eighty-two million, four hundred fifty-two thousand, six hundred seventy-two".