67972164 has 48 divisors (see below), whose sum is σ = 174791232. Its totient is φ = 20426112.

The previous prime is 67972147. The next prime is 67972187. The reversal of 67972164 is 46127976.

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, 1642 + ... + 11774.

It is an arithmetic number, because the mean of its divisors is an integer number (3641484).

Almost surely, 2^67972164 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 67972164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87395616).

67972164 is an abundant number, since it is smaller than the sum of its proper divisors (106819068).

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

67972164 is a wasteful number, since it uses less digits than its factorization.

67972164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196 (or 10194 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 67972164 is about 8244.5232730583. The cubic root of 67972164 is about 408.1098080064.

The spelling of 67972164 in words is "sixty-seven million, nine hundred seventy-two thousand, one hundred sixty-four".