272241648 has 180 divisors, whose sum is σ = 919758840. Its totient is φ = 77728896.

The previous prime is 272241631. The next prime is 272241649. The reversal of 272241648 is 846142272.

272241648 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 4 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (272241649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189798 + ... + 191226.

Almost surely, 2^272241648 is an apocalyptic number.

272241648 is a gapful number since it is divisible by the number (28) 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 272241648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459879420).

272241648 is an abundant number, since it is smaller than the sum of its proper divisors (647517192).

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

272241648 is a wasteful number, since it uses less digits than its factorization.

272241648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1441 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 272241648 is about 16499.7469071498. The cubic root of 272241648 is about 648.1141774117.

The spelling of 272241648 in words is "two hundred seventy-two million, two hundred forty-one thousand, six hundred forty-eight".