240072105 has 96 divisors (see below), whose sum is σ = 484033536. Its totient is φ = 99470592.

The previous prime is 240072103. The next prime is 240072109. The reversal of 240072105 is 501270042.

It is not a de Polignac number, because 240072105 - 2¹ = 240072103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (240072101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1472754 + ... + 1472916.

It is an arithmetic number, because the mean of its divisors is an integer number (5042016).

Almost surely, 2^240072105 is an apocalyptic number.

It is an amenable number.

240072105 is an abundant number, since it is smaller than the sum of its proper divisors (243961431).

240072105 is a wasteful number, since it uses less digits than its factorization.

240072105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 240072105 is about 15494.2603889311. The cubic root of 240072105 is about 621.5087302369.

The spelling of 240072105 in words is "two hundred forty million, seventy-two thousand, one hundred five".