33172416 has 126 divisors (see below), whose sum is σ = 99984560. Its totient is φ = 10917504.

The previous prime is 33172409. The next prime is 33172427. The reversal of 33172416 is 61427133.

It is a super-2 number, since 2×33172416² = 2200818366554112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 33172416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419865 + ... + 419943.

Almost surely, 2^33172416 is an apocalyptic number.

33172416 is a gapful number since it is divisible by the number (36) 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 33172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49992280).

33172416 is an abundant number, since it is smaller than the sum of its proper divisors (66812144).

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

33172416 is an frugal number, since it uses more digits than its factorization.

33172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 33172416 is about 5759.5499824205. The cubic root of 33172416 is about 321.3110793440.

Adding to 33172416 its reverse (61427133), we get a palindrome (94599549).

The spelling of 33172416 in words is "thirty-three million, one hundred seventy-two thousand, four hundred sixteen".