33741072 has 60 divisors (see below), whose sum is σ = 96231564. Its totient is φ = 11032320.

The previous prime is 33741067. The next prime is 33741083. The reversal of 33741072 is 27014733.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 7485696 = 5124^2 + 2736^2 .

It is a super-2 number, since 2×33741072² = 2276919879418368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5422 + ... + 9842.

Almost surely, 2^33741072 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 33741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48115782).

33741072 is an abundant number, since it is smaller than the sum of its proper divisors (62490492).

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

33741072 is a wasteful number, since it uses less digits than its factorization.

33741072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 33741072 is about 5808.7065685917. The cubic root of 33741072 is about 323.1367050022.

The spelling of 33741072 in words is "thirty-three million, seven hundred forty-one thousand, seventy-two".