72186246 has 48 divisors (see below), whose sum is σ = 171596880. Its totient is φ = 21749760.

The previous prime is 72186229. The next prime is 72186253. The reversal of 72186246 is 64268127.

72186246 is a `hidden beast` number, since 7 + 21 + 8 + 624 + 6 = 666.

It is a super-2 number, since 2×72186246² = 10421708223145032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72186246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37270 + ... + 39158.

It is an arithmetic number, because the mean of its divisors is an integer number (3574935).

Almost surely, 2^72186246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72186246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798440).

72186246 is an abundant number, since it is smaller than the sum of its proper divisors (99410634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72186246 is a wasteful number, since it uses less digits than its factorization.

72186246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2098 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72186246 is about 8496.2489370310. The cubic root of 72186246 is about 416.3751662113.

The spelling of 72186246 in words is "seventy-two million, one hundred eighty-six thousand, two hundred forty-six".