33872736 has 24 divisors (see below), whose sum is σ = 88916184. Its totient is φ = 11290880.

The previous prime is 33872719. The next prime is 33872737. The reversal of 33872736 is 63727833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33872736² = 2294724488251392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33872694 and 33872703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872737) 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, 176325 + ... + 176516.

It is an arithmetic number, because the mean of its divisors is an integer number (3704841).

Almost surely, 2^33872736 is an apocalyptic number.

It is an amenable number.

33872736 is an abundant number, since it is smaller than the sum of its proper divisors (55043448).

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

33872736 is a wasteful number, since it uses less digits than its factorization.

33872736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352854 (or 352846 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 33872736 is about 5820.0288659078. The cubic root of 33872736 is about 323.5564728413.

The spelling of 33872736 in words is "thirty-three million, eight hundred seventy-two thousand, seven hundred thirty-six".