67271072 has 48 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 30405120.

The previous prime is 67271059. The next prime is 67271111. The reversal of 67271072 is 27017276.

It is a happy number.

It is a super-3 number, since 3×67271072³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78068 + ... + 78924.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^67271072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

67271072 is an abundant number, since it is smaller than the sum of its proper divisors (78026080).

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

67271072 is a wasteful number, since it uses less digits than its factorization.

67271072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 67271072 is about 8201.8944153165. The cubic root of 67271072 is about 406.7018202464.

The spelling of 67271072 in words is "sixty-seven million, two hundred seventy-one thousand, seventy-two".