163683072 has 288 divisors, whose sum is σ = 588672000. Its totient is φ = 43794432.

The previous prime is 163683071. The next prime is 163683073. The reversal of 163683072 is 270386361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (163683071) and next prime (163683073).

It is a tau number, because it is divible by the number of its divisors (288).

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 (163683071) 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, 822429 + ... + 822627.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^163683072 is an apocalyptic number.

163683072 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 163683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336000).

163683072 is an abundant number, since it is smaller than the sum of its proper divisors (424988928).

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

163683072 is a wasteful number, since it uses less digits than its factorization.

163683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

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

The square root of 163683072 is about 12793.8685314490. The cubic root of 163683072 is about 547.0175445869.

The spelling of 163683072 in words is "one hundred sixty-three million, six hundred eighty-three thousand, seventy-two".