67256000 has 112 divisors (see below), whose sum is σ = 190512192. Its totient is φ = 23040000.

The previous prime is 67255987. The next prime is 67256011. The reversal of 67256000 is 65276.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55400 + ... + 56600.

Almost surely, 2^67256000 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 67256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256096).

67256000 is an abundant number, since it is smaller than the sum of its proper divisors (123256192).

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

67256000 is a wasteful number, since it uses less digits than its factorization.

67256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 67256000 is about 8200.9755517255. The cubic root of 67256000 is about 406.6714442987.

The spelling of 67256000 in words is "sixty-seven million, two hundred fifty-six thousand".