72835189 has 16 divisors (see below), whose sum is σ = 87897600. Its totient is φ = 58958064.

The previous prime is 72835183. The next prime is 72835199. The reversal of 72835189 is 98153827.

72835189 = 190² + 191² + ... + 608².

It is not a de Polignac number, because 72835189 - 2¹⁷ = 72704117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72835183) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55074 + ... + 56380.

It is an arithmetic number, because the mean of its divisors is an integer number (5493600).

Almost surely, 2^72835189 is an apocalyptic number.

It is an amenable number.

72835189 is a deficient number, since it is larger than the sum of its proper divisors (15062411).

72835189 is a wasteful number, since it uses less digits than its factorization.

72835189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752.

The product of its digits is 120960, while the sum is 43.

The square root of 72835189 is about 8534.3534611592. The cubic root of 72835189 is about 417.6191616067.

The spelling of 72835189 in words is "seventy-two million, eight hundred thirty-five thousand, one hundred eighty-nine".