33539072 has 44 divisors (see below), whose sum is σ = 76639680. Its totient is φ = 14370816.

The previous prime is 33539071. The next prime is 33539141. The reversal of 33539072 is 27093533.

It is a super-2 number, since 2×33539072² = 2249738701242368, 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 (33539071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4829 + ... + 9507.

Almost surely, 2^33539072 is an apocalyptic number.

33539072 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 33539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319840).

33539072 is an abundant number, since it is smaller than the sum of its proper divisors (43100608).

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

33539072 is an equidigital number, since it uses as much as digits as its factorization.

33539072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 32.

The square root of 33539072 is about 5791.2927745021. The cubic root of 33539072 is about 322.4905655955.

The spelling of 33539072 in words is "thirty-three million, five hundred thirty-nine thousand, seventy-two".