164337572 has 144 divisors (see below), whose sum is σ = 384265728. Its totient is φ = 60963840.

The previous prime is 164337557. The next prime is 164337581. The reversal of 164337572 is 275733461.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3821783 + ... + 3821825.

It is an arithmetic number, because the mean of its divisors is an integer number (2668512).

Almost surely, 2^164337572 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 164337572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192132864).

164337572 is an abundant number, since it is smaller than the sum of its proper divisors (219928156).

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

164337572 is a wasteful number, since it uses less digits than its factorization.

164337572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its digits is 105840, while the sum is 38.

The square root of 164337572 is about 12819.4216718228. The cubic root of 164337572 is about 547.7456729168.

The spelling of 164337572 in words is "one hundred sixty-four million, three hundred thirty-seven thousand, five hundred seventy-two".