82749472 has 48 divisors (see below), whose sum is σ = 185780952. Its totient is φ = 35942400.

The previous prime is 82749467. The next prime is 82749481. The reversal of 82749472 is 27494728.

It can be written as a sum of positive squares in 4 ways, for example, as 75968656 + 6780816 = 8716^2 + 2604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222 + ... + 12922.

Almost surely, 2^82749472 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 82749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92890476).

82749472 is an abundant number, since it is smaller than the sum of its proper divisors (103031480).

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

82749472 is a wasteful number, since it uses less digits than its factorization.

82749472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11733 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 82749472 is about 9096.6736777791. The cubic root of 82749472 is about 435.7677409545.

The spelling of 82749472 in words is "eighty-two million, seven hundred forty-nine thousand, four hundred seventy-two".