83672192 has 32 divisors (see below), whose sum is σ = 172446300. Its totient is φ = 40391680.

The previous prime is 83672179. The next prime is 83672201. The reversal of 83672192 is 29127638.

It can be written as a sum of positive squares in 2 ways, for example, as 81288256 + 2383936 = 9016^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 7559 + ... + 14982.

Almost surely, 2^83672192 is an apocalyptic number.

It is an amenable number.

83672192 is an abundant number, since it is smaller than the sum of its proper divisors (88774108).

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

83672192 is a wasteful number, since it uses less digits than its factorization.

83672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22584 (or 22572 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 83672192 is about 9147.2505158654. The cubic root of 83672192 is about 437.3814723267.

The spelling of 83672192 in words is "eighty-three million, six hundred seventy-two thousand, one hundred ninety-two".