72165213 has 12 divisors (see below), whose sum is σ = 104377728. Its totient is φ = 48045960.

The previous prime is 72165131. The next prime is 72165229. The reversal of 72165213 is 31256127.

It is a happy number.

72165213 is a `hidden beast` number, since 7 + 2 + 1 + 652 + 1 + 3 = 666.

It is not a de Polignac number, because 72165213 - 2¹⁰ = 72164189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356 + ... + 12242.

It is an arithmetic number, because the mean of its divisors is an integer number (8698144).

Almost surely, 2^72165213 is an apocalyptic number.

It is an amenable number.

72165213 is a deficient number, since it is larger than the sum of its proper divisors (32212515).

72165213 is a wasteful number, since it uses less digits than its factorization.

72165213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10701 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72165213 is about 8495.0110653253. The cubic root of 72165213 is about 416.3347223591.

The spelling of 72165213 in words is "seventy-two million, one hundred sixty-five thousand, two hundred thirteen".