72127205 has 16 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 54761280.

The previous prime is 72127201. The next prime is 72127219. The reversal of 72127205 is 50272127.

It is not a de Polignac number, because 72127205 - 2² = 72127201 is a prime.

It is a super-2 number, since 2×72127205² = 10404667402224050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72127201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4340 + ... + 12770.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^72127205 is an apocalyptic number.

It is an amenable number.

72127205 is a deficient number, since it is larger than the sum of its proper divisors (18938395).

72127205 is a wasteful number, since it uses less digits than its factorization.

72127205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72127205 is about 8492.7736929698. The cubic root of 72127205 is about 416.2616177503.

It can be divided in two parts, 7 and 2127205, that added together give a palindrome (2127212).

The spelling of 72127205 in words is "seventy-two million, one hundred twenty-seven thousand, two hundred five".