67429216 has 48 divisors (see below), whose sum is σ = 138595968. Its totient is φ = 32256000.

The previous prime is 67429211. The next prime is 67429223. The reversal of 67429216 is 61292476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67429211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99856 + ... + 100528.

It is an arithmetic number, because the mean of its divisors is an integer number (2887416).

Almost surely, 2^67429216 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 67429216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69297984).

67429216 is an abundant number, since it is smaller than the sum of its proper divisors (71166752).

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

67429216 is a wasteful number, since it uses less digits than its factorization.

67429216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 67429216 is about 8211.5294555886. The cubic root of 67429216 is about 407.0202687578.

It can be divided in two parts, 674 and 29216, that added together give a triangular number (29890 = T₂₄₄).

The spelling of 67429216 in words is "sixty-seven million, four hundred twenty-nine thousand, two hundred sixteen".