72836217 has 6 divisors (see below), whose sum is σ = 105207882. Its totient is φ = 48557472.

The previous prime is 72836201. The next prime is 72836221. The reversal of 72836217 is 71263827.

72836217 is a `hidden beast` number, since 7 + 28 + 3 + 621 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56385081 + 16451136 = 7509^2 + 4056^2 .

It is not a de Polignac number, because 72836217 - 2⁴ = 72836201 is a prime.

It is a super-2 number, since 2×72836217² = 10610229013742178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72836227) 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, 4046448 + ... + 4046465.

It is an arithmetic number, because the mean of its divisors is an integer number (17534647).

Almost surely, 2^72836217 is an apocalyptic number.

It is an amenable number.

72836217 is a deficient number, since it is larger than the sum of its proper divisors (32371665).

72836217 is a wasteful number, since it uses less digits than its factorization.

72836217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092919 (or 8092916 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72836217 is about 8534.4136881218. The cubic root of 72836217 is about 417.6211263644.

The spelling of 72836217 in words is "seventy-two million, eight hundred thirty-six thousand, two hundred seventeen".