241588272 has 80 divisors (see below), whose sum is σ = 642101760. Its totient is φ = 78233856.

The previous prime is 241588267. The next prime is 241588279. The reversal of 241588272 is 272885142.

It is a self number, because there is not a number n which added to its sum of digits gives 241588272.

It is not an unprimeable number, because it can be changed into a prime (241588279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389979 + ... + 390597.

It is an arithmetic number, because the mean of its divisors is an integer number (8026272).

Almost surely, 2^241588272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241588272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321050880).

241588272 is an abundant number, since it is smaller than the sum of its proper divisors (400513488).

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

241588272 is a wasteful number, since it uses less digits than its factorization.

241588272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 241588272 is about 15543.1101134876. The cubic root of 241588272 is about 622.8143577651.

It can be divided in two parts, 241588 and 272, that added together give a triangular number (241860 = T₆₉₅).

The spelling of 241588272 in words is "two hundred forty-one million, five hundred eighty-eight thousand, two hundred seventy-two".