272416167 has 24 divisors (see below), whose sum is σ = 415484160. Its totient is φ = 171519120.

The previous prime is 272416153. The next prime is 272416181. The reversal of 272416167 is 761614272.

It is an interprime number because it is at equal distance from previous prime (272416153) and next prime (272416181).

It is not a de Polignac number, because 272416167 - 2⁶ = 272416103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272416187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57042 + ... + 61632.

It is an arithmetic number, because the mean of its divisors is an integer number (17311840).

Almost surely, 2^272416167 is an apocalyptic number.

272416167 is a deficient number, since it is larger than the sum of its proper divisors (143067993).

272416167 is a wasteful number, since it uses less digits than its factorization.

272416167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4960 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 272416167 is about 16505.0345955408. The cubic root of 272416167 is about 648.2526378302.

The spelling of 272416167 in words is "two hundred seventy-two million, four hundred sixteen thousand, one hundred sixty-seven".