67533872 has 80 divisors (see below), whose sum is σ = 157704192. Its totient is φ = 27406080.

The previous prime is 67533871. The next prime is 67533881. The reversal of 67533872 is 27833576.

It is not an unprimeable number, because it can be changed into a prime (67533871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183833 + ... + 184199.

Almost surely, 2^67533872 is an apocalyptic number.

67533872 is a gapful number since it is divisible by the number (62) 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 67533872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78852096).

67533872 is an abundant number, since it is smaller than the sum of its proper divisors (90170320).

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

67533872 is a wasteful number, since it uses less digits than its factorization.

67533872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The square root of 67533872 is about 8217.8994883121. The cubic root of 67533872 is about 407.2307368438.

The spelling of 67533872 in words is "sixty-seven million, five hundred thirty-three thousand, eight hundred seventy-two".