67364073 has 18 divisors (see below), whose sum is σ = 113190714. Its totient is φ = 38493504.

The previous prime is 67364057. The next prime is 67364083. The reversal of 67364073 is 37046376.

67364073 is a `hidden beast` number, since 6 + 7 + 3 + 640 + 7 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 974169 = 8148^2 + 987^2 .

It is not a de Polignac number, because 67364073 - 2⁴ = 67364057 is a prime.

It is a super-4 number, since 4×67364073⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67364053) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75936 + ... + 76817.

It is an arithmetic number, because the mean of its divisors is an integer number (6288373).

Almost surely, 2^67364073 is an apocalyptic number.

67364073 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67364073 is a deficient number, since it is larger than the sum of its proper divisors (45826641).

67364073 is a wasteful number, since it uses less digits than its factorization.

67364073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152773 (or 152763 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 67364073 is about 8207.5619400648. The cubic root of 67364073 is about 406.8891531671.

It can be divided in two parts, 673 and 64073, that added together give a palindrome (64746).

The spelling of 67364073 in words is "sixty-seven million, three hundred sixty-four thousand, seventy-three".