83306272 has 36 divisors (see below), whose sum is σ = 190789830. Its totient is φ = 35702016.

The previous prime is 83306261. The next prime is 83306291. The reversal of 83306272 is 27260338.

It can be written as a sum of positive squares in only one way, i.e., 55890576 + 27415696 = 7476^2 + 5236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24997 + ... + 28132.

Almost surely, 2^83306272 is an apocalyptic number.

It is an amenable number.

83306272 is an abundant number, since it is smaller than the sum of its proper divisors (107483558).

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

83306272 is a wasteful number, since it uses less digits than its factorization.

83306272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53153 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 83306272 is about 9127.2269611312. The cubic root of 83306272 is about 436.7429467450.

The spelling of 83306272 in words is "eighty-three million, three hundred six thousand, two hundred seventy-two".