72005211 has 6 divisors (see below), whose sum is σ = 104007540. Its totient is φ = 48003468.

The previous prime is 72005207. The next prime is 72005221. The reversal of 72005211 is 11250027.

It is not a de Polignac number, because 72005211 - 2² = 72005207 is a prime.

It is a super-2 number, since 2×72005211² = 10369500822309042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72005221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4000281 + ... + 4000298.

It is an arithmetic number, because the mean of its divisors is an integer number (17334590).

Almost surely, 2^72005211 is an apocalyptic number.

72005211 is a deficient number, since it is larger than the sum of its proper divisors (32002329).

72005211 is a wasteful number, since it uses less digits than its factorization.

72005211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000585 (or 8000582 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 72005211 is about 8485.5884298026. The cubic root of 72005211 is about 416.0268007727.

Adding to 72005211 its reverse (11250027), we get a palindrome (83255238).

The spelling of 72005211 in words is "seventy-two million, five thousand, two hundred eleven".