164859072 has 56 divisors (see below), whose sum is σ = 498506496. Its totient is φ = 47102208.

The previous prime is 164859049. The next prime is 164859091. The reversal of 164859072 is 270958461.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 59988 + ... + 62675.

Almost surely, 2^164859072 is an apocalyptic number.

164859072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164859072 is an abundant number, since it is smaller than the sum of its proper divisors (333647424).

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

164859072 is a wasteful number, since it uses less digits than its factorization.

164859072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122685 (or 122675 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 164859072 is about 12839.7457918761. The cubic root of 164859072 is about 548.3244566600.

The spelling of 164859072 in words is "one hundred sixty-four million, eight hundred fifty-nine thousand, seventy-two".