7972067 has 8 divisors (see below), whose sum is σ = 8137920. Its totient is φ = 7808040.

The previous prime is 7972061. The next prime is 7972087. The reversal of 7972067 is 7602797.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7972067 - 2⁴ = 7972051 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7972067.

It is not an unprimeable number, because it can be changed into a prime (7972061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11192 + ... + 11882.

It is an arithmetic number, because the mean of its divisors is an integer number (1017240).

Almost surely, 2^7972067 is an apocalyptic number.

7972067 is a deficient number, since it is larger than the sum of its proper divisors (165853).

7972067 is a wasteful number, since it uses less digits than its factorization.

7972067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 7972067 is about 2823.4849034482. The cubic root of 7972067 is about 199.7669535522.

The spelling of 7972067 in words is "seven million, nine hundred seventy-two thousand, sixty-seven".