240217272 has 64 divisors (see below), whose sum is σ = 675360000. Its totient is φ = 79101792.

The previous prime is 240217249. The next prime is 240217273. The reversal of 240217272 is 272712042.

240217272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240217273) 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, 11229 + ... + 24627.

It is an arithmetic number, because the mean of its divisors is an integer number (10552500).

Almost surely, 2^240217272 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 240217272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337680000).

240217272 is an abundant number, since it is smaller than the sum of its proper divisors (435142728).

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

240217272 is a wasteful number, since it uses less digits than its factorization.

240217272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13497 (or 13487 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 240217272 is about 15498.9442221075. The cubic root of 240217272 is about 621.6339764675.

The spelling of 240217272 in words is "two hundred forty million, two hundred seventeen thousand, two hundred seventy-two".