264172272 has 160 divisors (see below), whose sum is σ = 846945792. Its totient is φ = 69092352.

The previous prime is 264172261. The next prime is 264172277. The reversal of 264172272 is 272271462.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264172277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860343 + ... + 860649.

Almost surely, 2^264172272 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 264172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423472896).

264172272 is an abundant number, since it is smaller than the sum of its proper divisors (582773520).

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

264172272 is a wasteful number, since it uses less digits than its factorization.

264172272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 264172272 is about 16253.3772490520. The cubic root of 264172272 is about 641.6463731218.

The spelling of 264172272 in words is "two hundred sixty-four million, one hundred seventy-two thousand, two hundred seventy-two".