272535648 has 288 divisors, whose sum is σ = 951471360. Its totient is φ = 67415040.

The previous prime is 272535629. The next prime is 272535661. The reversal of 272535648 is 846535272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189998 + ... + 1190226.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^272535648 is an apocalyptic number.

272535648 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 272535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475735680).

272535648 is an abundant number, since it is smaller than the sum of its proper divisors (678935712).

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

272535648 is a wasteful number, since it uses less digits than its factorization.

272535648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 272535648 is about 16508.6537306953. The cubic root of 272535648 is about 648.3473979337.

The spelling of 272535648 in words is "two hundred seventy-two million, five hundred thirty-five thousand, six hundred forty-eight".