72185903349 has 96 divisors (see below), whose sum is σ = 124897852800. Its totient is φ = 36808611840.

The previous prime is 72185903299. The next prime is 72185903411. The reversal of 72185903349 is 94330958127.

It is not a de Polignac number, because 72185903349 - 2⁸ = 72185903093 is a prime.

It is a super-2 number, since 2×72185903349² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72185903749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3310009 + ... + 3331745.

It is an arithmetic number, because the mean of its divisors is an integer number (1301019300).

Almost surely, 2^72185903349 is an apocalyptic number.

It is an amenable number.

72185903349 is a deficient number, since it is larger than the sum of its proper divisors (52711949451).

72185903349 is a wasteful number, since it uses less digits than its factorization.

72185903349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21843 (or 21836 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 72185903349 in words is "seventy-two billion, one hundred eighty-five million, nine hundred three thousand, three hundred forty-nine".