72007067 has 4 divisors (see below), whose sum is σ = 78553176. Its totient is φ = 65460960.

The previous prime is 72007057. The next prime is 72007073. The reversal of 72007067 is 76070027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76070027 = 11 ⋅6915457.

It is a cyclic number.

It is not a de Polignac number, because 72007067 - 2⁶ = 72007003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72007027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3273038 + ... + 3273059.

It is an arithmetic number, because the mean of its divisors is an integer number (19638294).

Almost surely, 2^72007067 is an apocalyptic number.

72007067 is a deficient number, since it is larger than the sum of its proper divisors (6546109).

72007067 is a wasteful number, since it uses less digits than its factorization.

72007067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546108.

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 72007067 is about 8485.6977909893. The cubic root of 72007067 is about 416.0303752321.

The spelling of 72007067 in words is "seventy-two million, seven thousand, sixty-seven".