163817472 has 192 divisors, whose sum is σ = 539360640. Its totient is φ = 43057152.

The previous prime is 163817471. The next prime is 163817473. The reversal of 163817472 is 274718361.

It is an interprime number because it is at equal distance from previous prime (163817471) and next prime (163817473).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 163817472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163817471) 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, 558958 + ... + 559250.

It is an arithmetic number, because the mean of its divisors is an integer number (2809170).

Almost surely, 2^163817472 is an apocalyptic number.

163817472 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 163817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

163817472 is an abundant number, since it is smaller than the sum of its proper divisors (375543168).

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

163817472 is a wasteful number, since it uses less digits than its factorization.

163817472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 163817472 is about 12799.1199697479. The cubic root of 163817472 is about 547.1672221398.

It can be divided in two parts, 1638 and 17472, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 163817472 in words is "one hundred sixty-three million, eight hundred seventeen thousand, four hundred seventy-two".