33872072800 has 144 divisors (see below), whose sum is σ = 84639582720. Its totient is φ = 13230748160.

The previous prime is 33872072777. The next prime is 33872072821. The reversal of 33872072800 is 827027833.

It is a super-2 number, since 2×33872072800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24777717 + ... + 24779083.

It is an arithmetic number, because the mean of its divisors is an integer number (587774880).

Almost surely, 2^33872072800 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 33872072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319791360).

33872072800 is an abundant number, since it is smaller than the sum of its proper divisors (50767509920).

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

33872072800 is a wasteful number, since it uses less digits than its factorization.

33872072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 33872072800 in words is "thirty-three billion, eight hundred seventy-two million, seventy-two thousand, eight hundred".