163942272 has 256 divisors, whose sum is σ = 539784000. Its totient is φ = 48660480.

The previous prime is 163942193. The next prime is 163942277. The reversal of 163942272 is 272249361.

163942272 is a `hidden beast` number, since 163 + 9 + 422 + 72 = 666.

It is a super-3 number, since 3×163942272³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163942277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842004 + ... + 1842092.

Almost surely, 2^163942272 is an apocalyptic number.

163942272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892000).

163942272 is an abundant number, since it is smaller than the sum of its proper divisors (375841728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163942272 is a wasteful number, since it uses less digits than its factorization.

163942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 163942272 is about 12803.9943767560. The cubic root of 163942272 is about 547.3061351529.

The spelling of 163942272 in words is "one hundred sixty-three million, nine hundred forty-two thousand, two hundred seventy-two".