33452672 has 64 divisors (see below), whose sum is σ = 75936960. Its totient is φ = 14530560.

The previous prime is 33452669. The next prime is 33452677. The reversal of 33452672 is 27625433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33452672² = 2238162527879168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (33452677) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31868 + ... + 32900.

It is an arithmetic number, because the mean of its divisors is an integer number (1186515).

Almost surely, 2^33452672 is an apocalyptic number.

33452672 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 33452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37968480).

33452672 is an abundant number, since it is smaller than the sum of its proper divisors (42484288).

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

33452672 is a wasteful number, since it uses less digits than its factorization.

33452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its digits is 30240, while the sum is 32.

The square root of 33452672 is about 5783.8284898500. The cubic root of 33452672 is about 322.2134048232.

The spelling of 33452672 in words is "thirty-three million, four hundred fifty-two thousand, six hundred seventy-two".