164073728 has 72 divisors (see below), whose sum is σ = 403142208. Its totient is φ = 64899072.

The previous prime is 164073649. The next prime is 164073733. The reversal of 164073728 is 827370461.

It is a junction number, because it is equal to n+sod(n) for n = 164073691 and 164073700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19775 + ... + 26817.

Almost surely, 2^164073728 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 164073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201571104).

164073728 is an abundant number, since it is smaller than the sum of its proper divisors (239068480).

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

164073728 is an equidigital number, since it uses as much as digits as its factorization.

164073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 164073728 is about 12809.1267461916. The cubic root of 164073728 is about 547.4523806432.

The spelling of 164073728 in words is "one hundred sixty-four million, seventy-three thousand, seven hundred twenty-eight".