82073728 has 64 divisors (see below), whose sum is σ = 181103040. Its totient is φ = 36736000.

The previous prime is 82073723. The next prime is 82073777. The reversal of 82073728 is 82737028.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (82073723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99558 + ... + 100378.

It is an arithmetic number, because the mean of its divisors is an integer number (2829735).

Almost surely, 2^82073728 is an apocalyptic number.

82073728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90551520).

82073728 is an abundant number, since it is smaller than the sum of its proper divisors (99029312).

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

82073728 is a wasteful number, since it uses less digits than its factorization.

82073728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 82073728 is about 9059.4551712562. The cubic root of 82073728 is about 434.5783168613.

It can be divided in two parts, 8207 and 3728, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 82073728 in words is "eighty-two million, seventy-three thousand, seven hundred twenty-eight".