72105397 has 32 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 54286848.

The previous prime is 72105343. The next prime is 72105401. The reversal of 72105397 is 79350127.

It is not a de Polignac number, because 72105397 - 2⁷ = 72105269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72105197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234718 + ... + 235024.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^72105397 is an apocalyptic number.

It is an amenable number.

72105397 is a deficient number, since it is larger than the sum of its proper divisors (21033803).

72105397 is a wasteful number, since it uses less digits than its factorization.

72105397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 72105397 is about 8491.4896808511. The cubic root of 72105397 is about 416.2196606347.

The spelling of 72105397 in words is "seventy-two million, one hundred five thousand, three hundred ninety-seven".