52168032 has 144 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 14708736.

The previous prime is 52168027. The next prime is 52168033. The reversal of 52168032 is 23086125.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 52167987 and 52168005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52168033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227694 + ... + 227922.

It is an arithmetic number, because the mean of its divisors is an integer number (1193010).

Almost surely, 2^52168032 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 52168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720).

52168032 is an abundant number, since it is smaller than the sum of its proper divisors (119625408).

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

52168032 is a wasteful number, since it uses less digits than its factorization.

52168032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52168032 is about 7222.7440768727. The cubic root of 52168032 is about 373.6527227139.

Subtracting from 52168032 its sum of digits (27), we obtain a triangular number (52168005 = T₁₀₂₁₄).

The spelling of 52168032 in words is "fifty-two million, one hundred sixty-eight thousand, thirty-two".