82723872 has 288 divisors, whose sum is σ = 294948864. Its totient is φ = 19699200.

The previous prime is 82723867. The next prime is 82723877. The reversal of 82723872 is 27832728.

It is an interprime number because it is at equal distance from previous prime (82723867) and next prime (82723877).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82723872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82723877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668497 + ... + 2668527.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 2^82723872 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 82723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

82723872 is an abundant number, since it is smaller than the sum of its proper divisors (212224992).

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

82723872 is a wasteful number, since it uses less digits than its factorization.

82723872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 82723872 is about 9095.2664611874. The cubic root of 82723872 is about 435.7227988559.

The spelling of 82723872 in words is "eighty-two million, seven hundred twenty-three thousand, eight hundred seventy-two".