72830193 has 16 divisors (see below), whose sum is σ = 103461696. Its totient is φ = 45411840.

The previous prime is 72830189. The next prime is 72830209. The reversal of 72830193 is 39103827.

It is not a de Polignac number, because 72830193 - 2² = 72830189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72830113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3933 + ... + 12693.

It is an arithmetic number, because the mean of its divisors is an integer number (6466356).

Almost surely, 2^72830193 is an apocalyptic number.

It is an amenable number.

72830193 is a deficient number, since it is larger than the sum of its proper divisors (30631503).

72830193 is a wasteful number, since it uses less digits than its factorization.

72830193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8944.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72830193 is about 8534.0607567558. The cubic root of 72830193 is about 417.6096127743.

The spelling of 72830193 in words is "seventy-two million, eight hundred thirty thousand, one hundred ninety-three".