82071792 has 240 divisors, whose sum is σ = 276232320. Its totient is φ = 23328000.

The previous prime is 82071727. The next prime is 82071799. The reversal of 82071792 is 29717028.

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 (82071799) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 812542 + ... + 812642.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^82071792 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 82071792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

82071792 is an abundant number, since it is smaller than the sum of its proper divisors (194160528).

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

82071792 is a wasteful number, since it uses less digits than its factorization.

82071792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 82071792 is about 9059.3483209335. The cubic root of 82071792 is about 434.5748998107.

It can be divided in two parts, 8207 and 1792, that added together give a palindrome (9999).

The spelling of 82071792 in words is "eighty-two million, seventy-one thousand, seven hundred ninety-two".