72080181 has 24 divisors (see below), whose sum is σ = 107504280. Its totient is φ = 46503936.

The previous prime is 72080179. The next prime is 72080191. The reversal of 72080181 is 18108027.

It can be written as a sum of positive squares in 4 ways, for example, as 1368900 + 70711281 = 1170^2 + 8409^2 .

It is not a de Polignac number, because 72080181 - 2¹ = 72080179 is a prime.

It is a super-3 number, since 3×72080181³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080111) 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, 77125 + ... + 78053.

It is an arithmetic number, because the mean of its divisors is an integer number (4479345).

Almost surely, 2^72080181 is an apocalyptic number.

It is an amenable number.

72080181 is a deficient number, since it is larger than the sum of its proper divisors (35424099).

72080181 is a wasteful number, since it uses less digits than its factorization.

72080181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 72080181 is about 8490.0047703167. The cubic root of 72080181 is about 416.1711362104.

It can be divided in two parts, 720801 and 81, that multiplied together give a square (58384881 = 7641²).

The spelling of 72080181 in words is "seventy-two million, eighty thousand, one hundred eighty-one".