19972 has 6 divisors (see below), whose sum is σ = 34958. Its totient is φ = 9984.

The previous prime is 19963. The next prime is 19973. The reversal of 19972 is 27991.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 4096 = 126^2 + 64^2 .

It is a magnanimous number.

It is a self number, because there is not a number n which added to its sum of digits gives 19972.

It is not an unprimeable number, because it can be changed into a prime (19973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2493 + ... + 2500.

2¹⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

19972 is a deficient number, since it is larger than the sum of its proper divisors (14986).

19972 is a wasteful number, since it uses less digits than its factorization.

19972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4995 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 19972 is about 141.3223266154. The cubic root of 19972 is about 27.1315029677.

The spelling of 19972 in words is "nineteen thousand, nine hundred seventy-two".