163752 has 16 divisors (see below), whose sum is σ = 409440. Its totient is φ = 54576.

The previous prime is 163741. The next prime is 163753. The reversal of 163752 is 257361.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6823 = 163752 / (1 + 6 + 3 + 7 + 5 + 2).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (163753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3388 + ... + 3435.

It is an arithmetic number, because the mean of its divisors is an integer number (25590).

2¹⁶³⁷⁵² is an apocalyptic number.

163752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163752 is an abundant number, since it is smaller than the sum of its proper divisors (245688).

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

163752 is a wasteful number, since it uses less digits than its factorization.

163752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6828 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 163752 is about 404.6628226067. The cubic root of 163752 is about 54.7094318020.

The spelling of 163752 in words is "one hundred sixty-three thousand, seven hundred fifty-two".