72586197 has 6 divisors (see below), whose sum is σ = 104846742. Its totient is φ = 48390792.

The previous prime is 72586147. The next prime is 72586207. The reversal of 72586197 is 79168527.

72586197 is a `hidden beast` number, since 7 + 25 + 8 + 619 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59582961 + 13003236 = 7719^2 + 3606^2 .

It is not a de Polignac number, because 72586197 - 2⁶ = 72586133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72586127) 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, 4032558 + ... + 4032575.

It is an arithmetic number, because the mean of its divisors is an integer number (17474457).

Almost surely, 2^72586197 is an apocalyptic number.

It is an amenable number.

72586197 is a deficient number, since it is larger than the sum of its proper divisors (32260545).

72586197 is a wasteful number, since it uses less digits than its factorization.

72586197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065139 (or 8065136 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72586197 is about 8519.7533415000. The cubic root of 72586197 is about 417.1427318792.

The spelling of 72586197 in words is "seventy-two million, five hundred eighty-six thousand, one hundred ninety-seven".