72186261 has 24 divisors (see below), whose sum is σ = 112285440. Its totient is φ = 41130432.

The previous prime is 72186253. The next prime is 72186271. The reversal of 72186261 is 16268127.

It is not a de Polignac number, because 72186261 - 2³ = 72186253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72186271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88825 + ... + 89633.

It is an arithmetic number, because the mean of its divisors is an integer number (4678560).

Almost surely, 2^72186261 is an apocalyptic number.

It is an amenable number.

72186261 is a deficient number, since it is larger than the sum of its proper divisors (40099179).

72186261 is a wasteful number, since it uses less digits than its factorization.

72186261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1426 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 72186261 is about 8496.2498197734. The cubic root of 72186261 is about 416.3751950516.

The spelling of 72186261 in words is "seventy-two million, one hundred eighty-six thousand, two hundred sixty-one".