72242586 has 96 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 20528640.

The previous prime is 72242561. The next prime is 72242627. The reversal of 72242586 is 68524227.

72242586 is a `hidden beast` number, since 72 + 2 + 4 + 2 + 586 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72242586.

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 47 ways as a sum of consecutive naturals, for example, 166626 + ... + 167058.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^72242586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72242586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

72242586 is an abundant number, since it is smaller than the sum of its proper divisors (109745766).

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

72242586 is a wasteful number, since it uses less digits than its factorization.

72242586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 72242586 is about 8499.5638711642. The cubic root of 72242586 is about 416.4834623564.

The spelling of 72242586 in words is "seventy-two million, two hundred forty-two thousand, five hundred eighty-six".