52786272 has 192 divisors, whose sum is σ = 178343424. Its totient is φ = 13271040.

The previous prime is 52786259. The next prime is 52786277. The reversal of 52786272 is 27268725.

52786272 = 424² + 425² + ... + 616².

It is a self number, because there is not a number n which added to its sum of digits gives 52786272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52786277) 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 31 ways as a sum of consecutive naturals, for example, 273408 + ... + 273600.

It is an arithmetic number, because the mean of its divisors is an integer number (928872).

Almost surely, 2^52786272 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 52786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89171712).

52786272 is an abundant number, since it is smaller than the sum of its proper divisors (125557152).

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

52786272 is a wasteful number, since it uses less digits than its factorization.

52786272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 52786272 is about 7265.4161615148. The cubic root of 52786272 is about 375.1229747792.

The spelling of 52786272 in words is "fifty-two million, seven hundred eighty-six thousand, two hundred seventy-two".