19985072 has 40 divisors (see below), whose sum is σ = 39841200. Its totient is φ = 9708800.

The previous prime is 19985071. The next prime is 19985087. The reversal of 19985072 is 27058991.

19985072 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (19985071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134054 + ... + 134202.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 2^19985072 is an apocalyptic number.

It is an amenable number.

19985072 is a deficient number, since it is larger than the sum of its proper divisors (19856128).

19985072 is a wasteful number, since it uses less digits than its factorization.

19985072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 19985072 is about 4470.4666423093. The cubic root of 19985072 is about 271.3742101396.

The spelling of 19985072 in words is "nineteen million, nine hundred eighty-five thousand, seventy-two".