272535040 has 80 divisors (see below), whose sum is σ = 676162080. Its totient is φ = 105226240.

The previous prime is 272535017. The next prime is 272535079. The reversal of 272535040 is 40535272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72405 + ... + 76075.

It is an arithmetic number, because the mean of its divisors is an integer number (8452026).

Almost surely, 2^272535040 is an apocalyptic number.

272535040 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 272535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338081040).

272535040 is an abundant number, since it is smaller than the sum of its proper divisors (403627040).

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

272535040 is an equidigital number, since it uses as much as digits as its factorization.

272535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 272535040 is about 16508.6353161005. The cubic root of 272535040 is about 648.3469158004.

The spelling of 272535040 in words is "two hundred seventy-two million, five hundred thirty-five thousand, forty".