72167265 has 24 divisors (see below), whose sum is σ = 126246120. Its totient is φ = 38133504.

The previous prime is 72167237. The next prime is 72167273. The reversal of 72167265 is 56276127.

It can be written as a sum of positive squares in 4 ways, for example, as 19633761 + 52533504 = 4431^2 + 7248^2 .

It is not a de Polignac number, because 72167265 - 2⁸ = 72167009 is a prime.

It is a super-2 number, since 2×72167265² = 10416228275160450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2452 + ... + 12261.

It is an arithmetic number, because the mean of its divisors is an integer number (5260255).

Almost surely, 2^72167265 is an apocalyptic number.

72167265 is the 4905-th octagonal number.

It is an amenable number.

72167265 is a deficient number, since it is larger than the sum of its proper divisors (54078855).

72167265 is a wasteful number, since it uses less digits than its factorization.

72167265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14833 (or 14830 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72167265 is about 8495.1318412371. The cubic root of 72167265 is about 416.3386684467.

The spelling of 72167265 in words is "seventy-two million, one hundred sixty-seven thousand, two hundred sixty-five".