67256001 has 20 divisors (see below), whose sum is σ = 101475924. Its totient is φ = 44388000.

The previous prime is 67255987. The next prime is 67256011. The reversal of 67256001 is 10065276.

It can be written as a sum of positive squares in 2 ways, for example, as 64016001 + 3240000 = 8001^2 + 1800^2 .

It is not a de Polignac number, because 67256001 - 2¹⁰ = 67254977 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67256011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4071 + ... + 12291.

Almost surely, 2^67256001 is an apocalyptic number.

It is an amenable number.

67256001 is a deficient number, since it is larger than the sum of its proper divisors (34219923).

67256001 is a wasteful number, since it uses less digits than its factorization.

67256001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 67256001 is about 8200.9756126939. The cubic root of 67256001 is about 406.6714463143.

The spelling of 67256001 in words is "sixty-seven million, two hundred fifty-six thousand, one".