33472720 has 40 divisors (see below), whose sum is σ = 78153480. Its totient is φ = 13332480.

The previous prime is 33472697. The next prime is 33472723. The reversal of 33472720 is 2727433.

It can be written as a sum of positive squares in 4 ways, for example, as 2202256 + 31270464 = 1484^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33472720² = 2240845968396800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33472723) 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, 21736 + ... + 23224.

It is an arithmetic number, because the mean of its divisors is an integer number (1953837).

Almost surely, 2^33472720 is an apocalyptic number.

It is an amenable number.

33472720 is an abundant number, since it is smaller than the sum of its proper divisors (44680760).

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

33472720 is a wasteful number, since it uses less digits than its factorization.

33472720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 33472720 is about 5785.5613383664. The cubic root of 33472720 is about 322.2777588689.

The spelling of 33472720 in words is "thirty-three million, four hundred seventy-two thousand, seven hundred twenty".