72048067 has 16 divisors (see below), whose sum is σ = 89752320. Its totient is φ = 56312352.

The previous prime is 72048049. The next prime is 72048073. The reversal of 72048067 is 76084027.

It is a cyclic number.

It is not a de Polignac number, because 72048067 - 2⁷ = 72047939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72043067) 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, 2784 + ... + 12322.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2^72048067 is an apocalyptic number.

72048067 is a deficient number, since it is larger than the sum of its proper divisors (17704253).

72048067 is a wasteful number, since it uses less digits than its factorization.

72048067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642.

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72048067 is about 8488.1132768125. The cubic root of 72048067 is about 416.1093212287.

The spelling of 72048067 in words is "seventy-two million, forty-eight thousand, sixty-seven".