82442772 has 60 divisors (see below), whose sum is σ = 219633876. Its totient is φ = 26956800.

The previous prime is 82442749. The next prime is 82442777. The reversal of 82442772 is 27724428.

It can be written as a sum of positive squares in 2 ways, for example, as 53670276 + 28772496 = 7326^2 + 5364^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82442777) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14772 + ... + 19572.

Almost surely, 2^82442772 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 82442772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109816938).

82442772 is an abundant number, since it is smaller than the sum of its proper divisors (137191104).

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

82442772 is a wasteful number, since it uses less digits than its factorization.

82442772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4859 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 82442772 is about 9079.8002180665. The cubic root of 82442772 is about 435.2287025678.

The spelling of 82442772 in words is "eighty-two million, four hundred forty-two thousand, seven hundred seventy-two".