67968225 has 72 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 31674240.

The previous prime is 67968221. The next prime is 67968247. The reversal of 67968225 is 52286976.

It is not a de Polignac number, because 67968225 - 2² = 67968221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67968221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54964 + ... + 56186.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2^67968225 is an apocalyptic number.

67968225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67968225 is an abundant number, since it is smaller than the sum of its proper divisors (70147935).

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

67968225 is a wasteful number, since it uses less digits than its factorization.

67968225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 67968225 is about 8244.2843837413. The cubic root of 67968225 is about 408.1019245068.

The spelling of 67968225 in words is "sixty-seven million, nine hundred sixty-eight thousand, two hundred twenty-five".