164121672 has 256 divisors, whose sum is σ = 533433600. Its totient is φ = 41287680.

The previous prime is 164121649. The next prime is 164121679. The reversal of 164121672 is 276121461.

It is not an unprimeable number, because it can be changed into a prime (164121679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691928 + ... + 1692024.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 2^164121672 is an apocalyptic number.

164121672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164121672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

164121672 is an abundant number, since it is smaller than the sum of its proper divisors (369311928).

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

164121672 is a wasteful number, since it uses less digits than its factorization.

164121672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 164121672 is about 12810.9980875808. The cubic root of 164121672 is about 547.5056991546.

The spelling of 164121672 in words is "one hundred sixty-four million, one hundred twenty-one thousand, six hundred seventy-two".