72068007 has 16 divisors (see below), whose sum is σ = 110344320. Its totient is φ = 41378400.

The previous prime is 72067999. The next prime is 72068011. The reversal of 72068007 is 70086027.

It is not a de Polignac number, because 72068007 - 2³ = 72067999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72068047) 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, 56844 + ... + 58097.

It is an arithmetic number, because the mean of its divisors is an integer number (6896520).

Almost surely, 2^72068007 is an apocalyptic number.

72068007 is a deficient number, since it is larger than the sum of its proper divisors (38276313).

72068007 is a wasteful number, since it uses less digits than its factorization.

72068007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114974.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 72068007 is about 8489.2877793134. The cubic root of 72068007 is about 416.1477051155.

The spelling of 72068007 in words is "seventy-two million, sixty-eight thousand, seven".