67275000 has 288 divisors, whose sum is σ = 255921120. Its totient is φ = 15840000.

The previous prime is 67274993. The next prime is 67275007. The reversal of 67275000 is 57276.

It is an interprime number because it is at equal distance from previous prime (67274993) and next prime (67275007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67275007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2924989 + ... + 2925011.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^67275000 is an apocalyptic number.

67275000 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 67275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

67275000 is an abundant number, since it is smaller than the sum of its proper divisors (188646120).

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

67275000 is a wasteful number, since it uses less digits than its factorization.

67275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 67275000 is about 8202.1338686954. The cubic root of 67275000 is about 406.7097359503.

The spelling of 67275000 in words is "sixty-seven million, two hundred seventy-five thousand".