82728672 has 96 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 25228800.

The previous prime is 82728661. The next prime is 82728691. The reversal of 82728672 is 27682728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188229 + ... + 188667.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2^82728672 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 82728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

82728672 is an abundant number, since it is smaller than the sum of its proper divisors (153223968).

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

82728672 is a wasteful number, since it uses less digits than its factorization.

82728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 82728672 is about 9095.5303308823. The cubic root of 82728672 is about 435.7312262056.

The spelling of 82728672 in words is "eighty-two million, seven hundred twenty-eight thousand, six hundred seventy-two".