82992672 has 108 divisors (see below), whose sum is σ = 274589406. Its totient is φ = 23708160.

The previous prime is 82992661. The next prime is 82992713. The reversal of 82992672 is 27629928.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 24561936 = 7644^2 + 4956^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11172 + ... + 17052.

Almost surely, 2^82992672 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 82992672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137294703).

82992672 is an abundant number, since it is smaller than the sum of its proper divisors (191596734).

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

82992672 is a wasteful number, since it uses less digits than its factorization.

82992672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5893 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 82992672 is about 9110.0313940184. The cubic root of 82992672 is about 436.1942293163.

The spelling of 82992672 in words is "eighty-two million, nine hundred ninety-two thousand, six hundred seventy-two".