72828319 has 8 divisors (see below), whose sum is σ = 73402560. Its totient is φ = 72256800.

The previous prime is 72828317. The next prime is 72828347. The reversal of 72828319 is 91382827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72828319 - 2¹ = 72828317 is a prime.

It is a super-2 number, since 2×72828319² = 10607928096731522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72828317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109849 + ... + 110509.

It is an arithmetic number, because the mean of its divisors is an integer number (9175320).

Almost surely, 2^72828319 is an apocalyptic number.

72828319 is a deficient number, since it is larger than the sum of its proper divisors (574241).

72828319 is a wasteful number, since it uses less digits than its factorization.

72828319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361.

The product of its digits is 48384, while the sum is 40.

The square root of 72828319 is about 8533.9509607215. The cubic root of 72828319 is about 417.6060308939.

The spelling of 72828319 in words is "seventy-two million, eight hundred twenty-eight thousand, three hundred nineteen".