52275168 has 144 divisors (see below), whose sum is σ = 168058800. Its totient is φ = 15267840.

The previous prime is 52275131. The next prime is 52275173. The reversal of 52275168 is 86157225.

It is a happy number.

52275168 is a `hidden beast` number, since 522 + 75 + 1 + 68 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91588 + ... + 92156.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^52275168 is an apocalyptic number.

52275168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52275168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

52275168 is an abundant number, since it is smaller than the sum of its proper divisors (115783632).

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

52275168 is a wasteful number, since it uses less digits than its factorization.

52275168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52275168 is about 7230.1568447718. The cubic root of 52275168 is about 373.9083344607.

It can be divided in two parts, 522 and 75168, that multiplied together give a square (39237696 = 6264²).

The spelling of 52275168 in words is "fifty-two million, two hundred seventy-five thousand, one hundred sixty-eight".