67729536 has 192 divisors, whose sum is σ = 229769280. Its totient is φ = 18745344.

The previous prime is 67729531. The next prime is 67729537. The reversal of 67729536 is 63592776.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 67729491 and 67729500.

It is not an unprimeable number, because it can be changed into a prime (67729531) 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, 298255 + ... + 298481.

It is an arithmetic number, because the mean of its divisors is an integer number (1196715).

Almost surely, 2^67729536 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 67729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114884640).

67729536 is an abundant number, since it is smaller than the sum of its proper divisors (162039744).

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

67729536 is a wasteful number, since it uses less digits than its factorization.

67729536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 67729536 is about 8229.7956232218. The cubic root of 67729536 is about 407.6236437127.

It can be divided in two parts, 67729 and 536, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 67729536 in words is "sixty-seven million, seven hundred twenty-nine thousand, five hundred thirty-six".