5872752 has 60 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 1841664.

The previous prime is 5872739. The next prime is 5872787. The reversal of 5872752 is 2572785.

5872752 is a `hidden beast` number, since 587 + 2 + 75 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5² + 8⁴ + 7⁴ + 2¹⁵ + 7⁸ + 5⁵ + 2¹⁶ .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1249 + ... + 3647.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^5872752 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 5872752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

5872752 is an abundant number, since it is smaller than the sum of its proper divisors (11536848).

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

5872752 is a wasteful number, since it uses less digits than its factorization.

5872752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2421 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5872752 is about 2423.3761573474. The cubic root of 5872752 is about 180.4182864864.

The spelling of 5872752 in words is "five million, eight hundred seventy-two thousand, seven hundred fifty-two".