33163872 has 96 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 8914944.

The previous prime is 33163859. The next prime is 33163937. The reversal of 33163872 is 27836133.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9973 + ... + 12875.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^33163872 is an apocalyptic number.

33163872 is a gapful number since it is divisible by the number (32) 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 33163872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

33163872 is an abundant number, since it is smaller than the sum of its proper divisors (72216480).

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

33163872 is a wasteful number, since it uses less digits than its factorization.

33163872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 33163872 is about 5758.8082100379. The cubic root of 33163872 is about 321.2834909847.

The spelling of 33163872 in words is "thirty-three million, one hundred sixty-three thousand, eight hundred seventy-two".