164331072 has 112 divisors (see below), whose sum is σ = 491337600. Its totient is φ = 53844480.

The previous prime is 164331071. The next prime is 164331091. The reversal of 164331072 is 270133461.

164331072 is a `hidden beast` number, since 1 + 643 + 3 + 10 + 7 + 2 = 666.

164331072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164331071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104629 + ... + 106187.

Almost surely, 2^164331072 is an apocalyptic number.

164331072 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 164331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245668800).

164331072 is an abundant number, since it is smaller than the sum of its proper divisors (327006528).

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

164331072 is a wasteful number, since it uses less digits than its factorization.

164331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 164331072 is about 12819.1681477388. The cubic root of 164331072 is about 547.7384512089.

The spelling of 164331072 in words is "one hundred sixty-four million, three hundred thirty-one thousand, seventy-two".