164072304 has 200 divisors, whose sum is σ = 549326448. Its totient is φ = 46725120.

The previous prime is 164072303. The next prime is 164072327. The reversal of 164072304 is 403270461.

164072304 is digitally balanced in base 2, because in such base 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164072303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242014 + ... + 242690.

Almost surely, 2^164072304 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 164072304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274663224).

164072304 is an abundant number, since it is smaller than the sum of its proper divisors (385254144).

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

164072304 is a wasteful number, since it uses less digits than its factorization.

164072304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 164072304 is about 12809.0711607048. The cubic root of 164072304 is about 547.4507968543.

The spelling of 164072304 in words is "one hundred sixty-four million, seventy-two thousand, three hundred four".