67822272 has 252 divisors, whose sum is σ = 237149640. Its totient is φ = 19160064.

The previous prime is 67822259. The next prime is 67822277. The reversal of 67822272 is 27222876.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (67822277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762004 + ... + 762092.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^67822272 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 67822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118574820).

67822272 is an abundant number, since it is smaller than the sum of its proper divisors (169327368).

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

67822272 is an equidigital number, since it uses as much as digits as its factorization.

67822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 67822272 is about 8235.4278577376. The cubic root of 67822272 is about 407.8095997416.

The spelling of 67822272 in words is "sixty-seven million, eight hundred twenty-two thousand, two hundred seventy-two".