67825200 has 120 divisors (see below), whose sum is σ = 224874000. Its totient is φ = 17454080.

The previous prime is 67825159. The next prime is 67825207. The reversal of 67825200 is 252876.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (67825207) 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 23 ways as a sum of consecutive naturals, for example, 33826 + ... + 35774.

It is an arithmetic number, because the mean of its divisors is an integer number (1873950).

Almost surely, 2^67825200 is an apocalyptic number.

67825200 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 67825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112437000).

67825200 is an abundant number, since it is smaller than the sum of its proper divisors (157048800).

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

67825200 is a wasteful number, since it uses less digits than its factorization.

67825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 67825200 is about 8235.6056243606. The cubic root of 67825200 is about 407.8154682628.

It can be divided in two parts, 678 and 25200, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 67825200 in words is "sixty-seven million, eight hundred twenty-five thousand, two hundred".