5785270272 has 288 divisors, whose sum is σ = 18206370000. Its totient is φ = 1762394112.

The previous prime is 5785270259. The next prime is 5785270277. The reversal of 5785270272 is 2720725875.

5785270272 is a `hidden beast` number, since 57 + 8 + 527 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785270277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11593479 + ... + 11593977.

Almost surely, 2^5785270272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103185000).

5785270272 is an abundant number, since it is smaller than the sum of its proper divisors (12421099728).

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

5785270272 is a wasteful number, since it uses less digits than its factorization.

5785270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 5785270272 is about 76060.9641800576. The cubic root of 5785270272 is about 1795.1795168624.

The spelling of 5785270272 in words is "five billion, seven hundred eighty-five million, two hundred seventy thousand, two hundred seventy-two".