83075805072 has 120 divisors (see below), whose sum is σ = 251092538424. Its totient is φ = 25489170432.

The previous prime is 83075805061. The next prime is 83075805077. The reversal of 83075805072 is 27050857038.

It can be written as a sum of positive squares in 4 ways, for example, as 3301191936 + 79774613136 = 57456^2 + 282444^2 .

It is not an unprimeable number, because it can be changed into a prime (83075805077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597958 + ... + 723674.

Almost surely, 2^83075805072 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 83075805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125546269212).

83075805072 is an abundant number, since it is smaller than the sum of its proper divisors (168016733352).

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

83075805072 is a wasteful number, since it uses less digits than its factorization.

83075805072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126097 (or 126088 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 83075805072 in words is "eighty-three billion, seventy-five million, eight hundred five thousand, seventy-two".