33353472 has 72 divisors (see below), whose sum is σ = 89698896. Its totient is φ = 11001856.

The previous prime is 33353461. The next prime is 33353477. The reversal of 33353472 is 27435333.

It is a happy number.

It is a super-2 number, since 2×33353472² = 2224908188909568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33353477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105058 + ... + 105374.

It is an arithmetic number, because the mean of its divisors is an integer number (1245818).

Almost surely, 2^33353472 is an apocalyptic number.

33353472 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 33353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44849448).

33353472 is an abundant number, since it is smaller than the sum of its proper divisors (56345424).

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

33353472 is a wasteful number, since it uses less digits than its factorization.

33353472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its digits is 22680, while the sum is 30.

The square root of 33353472 is about 5775.2464882462. The cubic root of 33353472 is about 321.8945940502.

The spelling of 33353472 in words is "thirty-three million, three hundred fifty-three thousand, four hundred seventy-two".