33210072 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 9397440.

The previous prime is 33209983. The next prime is 33210077. The reversal of 33210072 is 27001233.

It is a super-2 number, since 2×33210072² = 2205817764490368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33210077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65773 + ... + 66275.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^33210072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

33210072 is an abundant number, since it is smaller than the sum of its proper divisors (70573608).

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

33210072 is a wasteful number, since it uses less digits than its factorization.

33210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 33210072 is about 5762.8180606367. The cubic root of 33210072 is about 321.4326131979.

It can be divided in two parts, 332 and 10072, that added together give a square (10404 = 102²).

The spelling of 33210072 in words is "thirty-three million, two hundred ten thousand, seventy-two".