33252072 has 64 divisors (see below), whose sum is σ = 97236480. Its totient is φ = 9277632.

The previous prime is 33252049. The next prime is 33252073. The reversal of 33252072 is 27025233.

It is a super-2 number, since 2×33252072² = 2211400584586368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33252073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4923 + ... + 9525.

It is an arithmetic number, because the mean of its divisors is an integer number (1519320).

Almost surely, 2^33252072 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 33252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48618240).

33252072 is an abundant number, since it is smaller than the sum of its proper divisors (63984408).

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

33252072 is a wasteful number, since it uses less digits than its factorization.

33252072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 33252072 is about 5766.4609597222. The cubic root of 33252072 is about 321.5680588807.

The spelling of 33252072 in words is "thirty-three million, two hundred fifty-two thousand, seventy-two".