33378072 has 256 divisors, whose sum is σ = 116121600. Its totient is φ = 7741440.

The previous prime is 33378061. The next prime is 33378113. The reversal of 33378072 is 27087333.

It is a happy number.

It is a super-2 number, since 2×33378072² = 2228191380874368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1076697 + ... + 1076727.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^33378072 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 33378072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

33378072 is an abundant number, since it is smaller than the sum of its proper divisors (82743528).

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

33378072 is a wasteful number, since it uses less digits than its factorization.

33378072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 33378072 is about 5777.3758749107. The cubic root of 33378072 is about 321.9737128599.

The spelling of 33378072 in words is "thirty-three million, three hundred seventy-eight thousand, seventy-two".