67213200 has 120 divisors (see below), whose sum is σ = 218339200. Its totient is φ = 17671680.

The previous prime is 67213187. The next prime is 67213207. The reversal of 67213200 is 231276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×67213200² = 9035228508480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67213207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94446 + ... + 95154.

Almost surely, 2^67213200 is an apocalyptic number.

67213200 is a gapful number since it is divisible by the number (60) 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 67213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109169600).

67213200 is an abundant number, since it is smaller than the sum of its proper divisors (151126000).

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

67213200 is a wasteful number, since it uses less digits than its factorization.

67213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 67213200 is about 8198.3656907947. The cubic root of 67213200 is about 406.5851608877.

Adding to 67213200 its reverse (231276), we get a palindrome (67444476).

The spelling of 67213200 in words is "sixty-seven million, two hundred thirteen thousand, two hundred".