82730592 has 96 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 23635584.

The previous prime is 82730587. The next prime is 82730597. The reversal of 82730592 is 29503728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82730587) and next prime (82730597).

It is a tau number, because it is divible by the number of its divisors (96).

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 (82730597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^82730592 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 82730592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

82730592 is an abundant number, since it is smaller than the sum of its proper divisors (193058208).

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

82730592 is a wasteful number, since it uses less digits than its factorization.

82730592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82730592 is about 9095.6358766169. The cubic root of 82730592 is about 435.7345970542.

The spelling of 82730592 in words is "eighty-two million, seven hundred thirty thousand, five hundred ninety-two".