164610072 has 96 divisors (see below), whose sum is σ = 511992000. Its totient is φ = 47252160.

The previous prime is 164610049. The next prime is 164610097. The reversal of 164610072 is 270016461.

164610072 is a `hidden beast` number, since 1 + 646 + 10 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9579 + ... + 20517.

It is an arithmetic number, because the mean of its divisors is an integer number (5333250).

Almost surely, 2^164610072 is an apocalyptic number.

164610072 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 164610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255996000).

164610072 is an abundant number, since it is smaller than the sum of its proper divisors (347381928).

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

164610072 is a wasteful number, since it uses less digits than its factorization.

164610072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 164610072 is about 12830.0456741198. The cubic root of 164610072 is about 548.0482579556.

The spelling of 164610072 in words is "one hundred sixty-four million, six hundred ten thousand, seventy-two".