163768072 has 64 divisors (see below), whose sum is σ = 352598400. Its totient is φ = 70640640.

The previous prime is 163768061. The next prime is 163768079. The reversal of 163768072 is 270867361.

It is not an unprimeable number, because it can be changed into a prime (163768079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372829 + ... + 373267.

It is an arithmetic number, because the mean of its divisors is an integer number (5509350).

Almost surely, 2^163768072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163768072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176299200).

163768072 is an abundant number, since it is smaller than the sum of its proper divisors (188830328).

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

163768072 is a wasteful number, since it uses less digits than its factorization.

163768072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 163768072 is about 12797.1900040595. The cubic root of 163768072 is about 547.1122162483.

The spelling of 163768072 in words is "one hundred sixty-three million, seven hundred sixty-eight thousand, seventy-two".