72057186 has 48 divisors (see below), whose sum is σ = 166348728. Its totient is φ = 22464000.

The previous prime is 72057179. The next prime is 72057217. The reversal of 72057186 is 68175027.

72057186 is a `hidden beast` number, since 7 + 2 + 0 + 571 + 86 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23824161 + 48233025 = 4881^2 + 6945^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72057186.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54736 + ... + 56036.

Almost surely, 2^72057186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72057186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364).

72057186 is an abundant number, since it is smaller than the sum of its proper divisors (94291542).

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

72057186 is a wasteful number, since it uses less digits than its factorization.

72057186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72057186 is about 8488.6504227704. The cubic root of 72057186 is about 416.1268759020.

The spelling of 72057186 in words is "seventy-two million, fifty-seven thousand, one hundred eighty-six".