72960105 has 16 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 38875008.

The previous prime is 72960101. The next prime is 72960113. The reversal of 72960105 is 50106927.

It is not a de Polignac number, because 72960105 - 2² = 72960101 is a prime.

It is a super-2 number, since 2×72960105² = 10646353843222050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72960101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22624 + ... + 25646.

It is an arithmetic number, because the mean of its divisors is an integer number (7302960).

Almost surely, 2^72960105 is an apocalyptic number.

It is an amenable number.

72960105 is a deficient number, since it is larger than the sum of its proper divisors (43887255).

72960105 is a wasteful number, since it uses less digits than its factorization.

72960105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 72960105 is about 8541.6687479672. The cubic root of 72960105 is about 417.8577711813.

The spelling of 72960105 in words is "seventy-two million, nine hundred sixty thousand, one hundred five".