67171272 has 96 divisors (see below), whose sum is σ = 197171520. Its totient is φ = 18679680.

The previous prime is 67171259. The next prime is 67171277. The reversal of 67171272 is 27217176.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67171277) 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, 371022 + ... + 371202.

It is an arithmetic number, because the mean of its divisors is an integer number (2053870).

Almost surely, 2^67171272 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 67171272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98585760).

67171272 is an abundant number, since it is smaller than the sum of its proper divisors (130000248).

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

67171272 is a wasteful number, since it uses less digits than its factorization.

67171272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 240 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 67171272 is about 8195.8081968772. The cubic root of 67171272 is about 406.5005998760.

The spelling of 67171272 in words is "sixty-seven million, one hundred seventy-one thousand, two hundred seventy-two".