272465664 has 144 divisors (see below), whose sum is σ = 788084640. Its totient is φ = 83230720.

The previous prime is 272465663. The next prime is 272465671. The reversal of 272465664 is 466564272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272465663) 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 15 ways as a sum of consecutive naturals, for example, 535042 + ... + 535550.

It is an arithmetic number, because the mean of its divisors is an integer number (5472810).

Almost surely, 2^272465664 is an apocalyptic number.

272465664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394042320).

272465664 is an abundant number, since it is smaller than the sum of its proper divisors (515618976).

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

272465664 is a wasteful number, since it uses less digits than its factorization.

272465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 272465664 is about 16506.5339790036. The cubic root of 272465664 is about 648.2918971469.

The spelling of 272465664 in words is "two hundred seventy-two million, four hundred sixty-five thousand, six hundred sixty-four".