52578 has 24 divisors (see below), whose sum is σ = 119808. Its totient is φ = 16632.

The previous prime is 52571. The next prime is 52579. The reversal of 52578 is 87525.

It is a happy number.

52578 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

2⁵²⁵⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59904).

52578 is an abundant number, since it is smaller than the sum of its proper divisors (67230).

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

52578 is a wasteful number, since it uses less digits than its factorization.

52578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 52578 is about 229.2989315283. The cubic root of 52578 is about 37.4628966345.

It can be divided in two parts, 52 and 578, that added together give a triangular number (630 = T₃₅).

The spelling of 52578 in words is "fifty-two thousand, five hundred seventy-eight".