164437272 has 24 divisors (see below), whose sum is σ = 445351140. Its totient is φ = 54812400.

The previous prime is 164437271. The next prime is 164437303. The reversal of 164437272 is 272734461.

164437272 is a `hidden beast` number, since 1 + 644 + 3 + 7 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×164437272³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164437271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1141854 + ... + 1141997.

Almost surely, 2^164437272 is an apocalyptic number.

164437272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164437272 is an abundant number, since it is smaller than the sum of its proper divisors (280913868).

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

164437272 is a wasteful number, since it uses less digits than its factorization.

164437272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283863 (or 2283856 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 164437272 is about 12823.3097131747. The cubic root of 164437272 is about 547.8564189522.

The spelling of 164437272 in words is "one hundred sixty-four million, four hundred thirty-seven thousand, two hundred seventy-two".