72000067 has 4 divisors (see below), whose sum is σ = 72133696. Its totient is φ = 71866440.

The previous prime is 72000053. The next prime is 72000091. The reversal of 72000067 is 76000027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76000027 = 23 ⋅3304349.

It is not a de Polignac number, because 72000067 - 2¹¹ = 71998019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72000007) 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, 66003 + ... + 67084.

It is an arithmetic number, because the mean of its divisors is an integer number (18033424).

Almost surely, 2^72000067 is an apocalyptic number.

72000067 is a deficient number, since it is larger than the sum of its proper divisors (133629).

72000067 is a wasteful number, since it uses less digits than its factorization.

72000067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133628.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72000067 is about 8485.2853222505. The cubic root of 72000067 is about 416.0168936526.

The spelling of 72000067 in words is "seventy-two million, sixty-seven", and thus it is an aban number and an uban number.