72067969 has 16 divisors (see below), whose sum is σ = 78667200. Its totient is φ = 65797056.

The previous prime is 72067949. The next prime is 72067973. The reversal of 72067969 is 96976027.

It is a cyclic number.

It is not a de Polignac number, because 72067969 - 2⁷ = 72067841 is a prime.

It is a super-2 number, since 2×72067969² = 10387584311569922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72067909) 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, 58807 + ... + 60019.

It is an arithmetic number, because the mean of its divisors is an integer number (4916700).

Almost surely, 2^72067969 is an apocalyptic number.

It is an amenable number.

72067969 is a deficient number, since it is larger than the sum of its proper divisors (6599231).

72067969 is a wasteful number, since it uses less digits than its factorization.

72067969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 72067969 is about 8489.2855411984. The cubic root of 72067969 is about 416.1476319734.

The spelling of 72067969 in words is "seventy-two million, sixty-seven thousand, nine hundred sixty-nine".