272318640 has 320 divisors, whose sum is σ = 996364800. Its totient is φ = 60825600.

The previous prime is 272318623. The next prime is 272318647. The reversal of 272318640 is 46813272.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (272318647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3059716 + ... + 3059804.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^272318640 is an apocalyptic number.

272318640 is a gapful number since it is divisible by the number (20) 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 272318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498182400).

272318640 is an abundant number, since it is smaller than the sum of its proper divisors (724046160).

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

272318640 is a wasteful number, since it uses less digits than its factorization.

272318640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 272318640 is about 16502.0798689135. The cubic root of 272318640 is about 648.1752688524.

The spelling of 272318640 in words is "two hundred seventy-two million, three hundred eighteen thousand, six hundred forty".