67132224 has 42 divisors (see below), whose sum is σ = 192424050. Its totient is φ = 22377216.

The previous prime is 67132223. The next prime is 67132243. The reversal of 67132224 is 42223176.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 11778624 = 7440^2 + 3432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57699 + ... + 58850.

It is an arithmetic number, because the mean of its divisors is an integer number (4581525).

Almost surely, 2^67132224 is an apocalyptic number.

67132224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67132224 is an abundant number, since it is smaller than the sum of its proper divisors (125291826).

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

67132224 is a wasteful number, since it uses less digits than its factorization.

67132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116567 (or 116554 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 67132224 is about 8193.4256571961. The cubic root of 67132224 is about 406.4218156392.

The spelling of 67132224 in words is "sixty-seven million, one hundred thirty-two thousand, two hundred twenty-four".