72025167 has 8 divisors (see below), whose sum is σ = 100209024. Its totient is φ = 45929048.

The previous prime is 72025139. The next prime is 72025189. The reversal of 72025167 is 76152027.

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 72025167 - 2¹⁰ = 72024143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72025127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521853 + ... + 521990.

It is an arithmetic number, because the mean of its divisors is an integer number (12526128).

Almost surely, 2^72025167 is an apocalyptic number.

72025167 is a deficient number, since it is larger than the sum of its proper divisors (28183857).

72025167 is a wasteful number, since it uses less digits than its factorization.

72025167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043869.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72025167 is about 8486.7642243673. The cubic root of 72025167 is about 416.0652306949.

The spelling of 72025167 in words is "seventy-two million, twenty-five thousand, one hundred sixty-seven".