67129992 has 64 divisors (see below), whose sum is σ = 187689600. Its totient is φ = 22230720.

The previous prime is 67129987. The next prime is 67130017. The reversal of 67129992 is 29992176.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35142 + ... + 37002.

It is an arithmetic number, because the mean of its divisors is an integer number (2932650).

Almost surely, 2^67129992 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 67129992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

67129992 is an abundant number, since it is smaller than the sum of its proper divisors (120559608).

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

67129992 is a wasteful number, since it uses less digits than its factorization.

67129992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 67129992 is about 8193.2894492993. The cubic root of 67129992 is about 406.4173113764.

It can be divided in two parts, 67129 and 992, that added together give a square (68121 = 261²).

The spelling of 67129992 in words is "sixty-seven million, one hundred twenty-nine thousand, nine hundred ninety-two".