72306486 has 64 divisors (see below), whose sum is σ = 184757760. Its totient is φ = 20532960.

The previous prime is 72306461. The next prime is 72306497. The reversal of 72306486 is 68460327.

72306486 is a `hidden beast` number, since 7 + 2 + 3 + 0 + 648 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72306486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73981 + ... + 74951.

It is an arithmetic number, because the mean of its divisors is an integer number (2886840).

Almost surely, 2^72306486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72306486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92378880).

72306486 is an abundant number, since it is smaller than the sum of its proper divisors (112451274).

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

72306486 is a wasteful number, since it uses less digits than its factorization.

72306486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72306486 is about 8503.3220567023. The cubic root of 72306486 is about 416.6062221297.

The spelling of 72306486 in words is "seventy-two million, three hundred six thousand, four hundred eighty-six".