272100240 has 120 divisors (see below), whose sum is σ = 917524608. Its totient is φ = 72264960.

The previous prime is 272100233. The next prime is 272100263. The reversal of 272100240 is 42001272.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220425 + ... + 221655.

Almost surely, 2^272100240 is an apocalyptic number.

272100240 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 272100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458762304).

272100240 is an abundant number, since it is smaller than the sum of its proper divisors (645424368).

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

272100240 is a wasteful number, since it uses less digits than its factorization.

272100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 272100240 is about 16495.4611939163. The cubic root of 272100240 is about 648.0019432955.

The spelling of 272100240 in words is "two hundred seventy-two million, one hundred thousand, two hundred forty".