72830192 has 40 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 34160832.

The previous prime is 72830189. The next prime is 72830209. The reversal of 72830192 is 29103827.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31409 + ... + 33647.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^72830192 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 72830192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

72830192 is an abundant number, since it is smaller than the sum of its proper divisors (77160208).

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

72830192 is a wasteful number, since it uses less digits than its factorization.

72830192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 72830192 is about 8534.0606981671. The cubic root of 72830192 is about 417.6096108630.

The spelling of 72830192 in words is "seventy-two million, eight hundred thirty thousand, one hundred ninety-two".