163972 has 6 divisors (see below), whose sum is σ = 286958. Its totient is φ = 81984.

The previous prime is 163927. The next prime is 163973. The reversal of 163972 is 279361.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 51076 = 336^2 + 226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 163972.

It is not an unprimeable number, because it can be changed into a prime (163973) by changing a digit.

163972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20493 + ... + 20500.

2¹⁶³⁹⁷² is an apocalyptic number.

It is an amenable number.

163972 is a deficient number, since it is larger than the sum of its proper divisors (122986).

163972 is a wasteful number, since it uses less digits than its factorization.

163972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40997 (or 40995 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 163972 is about 404.9345626148. The cubic root of 163972 is about 54.7339214548.

It can be divided in two parts, 1639 and 72, that added together give a triangular number (1711 = T₅₈).

The spelling of 163972 in words is "one hundred sixty-three thousand, nine hundred seventy-two".