164020272 has 40 divisors (see below), whose sum is σ = 456314544. Its totient is φ = 50467584.

The previous prime is 164020261. The next prime is 164020273. The reversal of 164020272 is 272020461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (164020273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130803 + ... + 132050.

Almost surely, 2^164020272 is an apocalyptic number.

164020272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164020272 is an abundant number, since it is smaller than the sum of its proper divisors (292294272).

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

164020272 is a wasteful number, since it uses less digits than its factorization.

164020272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262877 (or 262871 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 164020272 is about 12807.0399390335. The cubic root of 164020272 is about 547.3929199898.

It can be divided in two parts, 1640 and 20272, that added together give a palindrome (21912).

The spelling of 164020272 in words is "one hundred sixty-four million, twenty thousand, two hundred seventy-two".