82075392 has 162 divisors, whose sum is σ = 275657928. Its totient is φ = 23417856.

The previous prime is 82075387. The next prime is 82075393. The reversal of 82075392 is 29357028.

It is a happy number.

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 (82075393) 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 17 ways as a sum of consecutive naturals, for example, 112533 + ... + 113259.

Almost surely, 2^82075392 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 82075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137828964).

82075392 is an abundant number, since it is smaller than the sum of its proper divisors (193582536).

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

82075392 is a wasteful number, since it uses less digits than its factorization.

82075392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 739 counting only the distinct ones).

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

The square root of 82075392 is about 9059.5470085430. The cubic root of 82075392 is about 434.5812537874.

The spelling of 82075392 in words is "eighty-two million, seventy-five thousand, three hundred ninety-two".