72185123785 has 8 divisors (see below), whose sum is σ = 88042184136. Its totient is φ = 56801408640.

The previous prime is 72185123761. The next prime is 72185123809. The reversal of 72185123785 is 58732158127.

It is an interprime number because it is at equal distance from previous prime (72185123761) and next prime (72185123809).

It can be written as a sum of positive squares in 4 ways, for example, as 595164816 + 71589958969 = 24396^2 + 267563^2 .

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

It is not a de Polignac number, because 72185123785 - 2¹⁹ = 72184599497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118335964 + ... + 118336573.

It is an arithmetic number, because the mean of its divisors is an integer number (11005273017).

Almost surely, 2^72185123785 is an apocalyptic number.

It is an amenable number.

72185123785 is a deficient number, since it is larger than the sum of its proper divisors (15857060351).

72185123785 is a wasteful number, since it uses less digits than its factorization.

72185123785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236672603.

The product of its digits is 940800, while the sum is 49.

The spelling of 72185123785 in words is "seventy-two billion, one hundred eighty-five million, one hundred twenty-three thousand, seven hundred eighty-five".