72107007 has 16 divisors (see below), whose sum is σ = 110261760. Its totient is φ = 41059872.

The previous prime is 72107003. The next prime is 72107041. The reversal of 72107007 is 70070127.

It is not a de Polignac number, because 72107007 - 2² = 72107003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72107003) 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, 294 + ... + 12012.

It is an arithmetic number, because the mean of its divisors is an integer number (6891360).

Almost surely, 2^72107007 is an apocalyptic number.

72107007 is a deficient number, since it is larger than the sum of its proper divisors (38154753).

72107007 is a wasteful number, since it uses less digits than its factorization.

72107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022.

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 72107007 is about 8491.5844811201. The cubic root of 72107007 is about 416.2227584549. Note that the first 3 decimals are identical.

The spelling of 72107007 in words is "seventy-two million, one hundred seven thousand, seven".