727264272 has 160 divisors (see below), whose sum is σ = 2212556800. Its totient is φ = 205752960.

The previous prime is 727264259. The next prime is 727264277. The reversal of 727264272 is 272462727.

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

It is a self number, because there is not a number n which added to its sum of digits gives 727264272.

It is not an unprimeable number, because it can be changed into a prime (727264277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2683497 + ... + 2683767.

It is an arithmetic number, because the mean of its divisors is an integer number (13828480).

Almost surely, 2^727264272 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 727264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106278400).

727264272 is an abundant number, since it is smaller than the sum of its proper divisors (1485292528).

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

727264272 is a wasteful number, since it uses less digits than its factorization.

727264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The square root of 727264272 is about 26967.8377331220. The cubic root of 727264272 is about 899.2851409885.

The spelling of 727264272 in words is "seven hundred twenty-seven million, two hundred sixty-four thousand, two hundred seventy-two".