272324164 has 48 divisors (see below), whose sum is σ = 563584000. Its totient is φ = 115069248.

The previous prime is 272324153. The next prime is 272324167. The reversal of 272324164 is 461423272.

272324164 = 3357² + 3358² + ... + 3380².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (272324167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98797 + ... + 101515.

Almost surely, 2^272324164 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 272324164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281792000).

272324164 is an abundant number, since it is smaller than the sum of its proper divisors (291259836).

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

272324164 is a wasteful number, since it uses less digits than its factorization.

272324164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2801 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 272324164 is about 16502.2472409063. The cubic root of 272324164 is about 648.1796515808.

The spelling of 272324164 in words is "two hundred seventy-two million, three hundred twenty-four thousand, one hundred sixty-four".