52345216 has 128 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 19783680.

The previous prime is 52345211. The next prime is 52345219. The reversal of 52345216 is 61254325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (7200) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52345211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463176 + ... + 463288.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^52345216 is an apocalyptic number.

52345216 is a gapful number since it is divisible by the number (56) 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 52345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

52345216 is an abundant number, since it is smaller than the sum of its proper divisors (81609344).

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

52345216 is a wasteful number, since it uses less digits than its factorization.

52345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 52345216 is about 7234.9993780235. Note that the first 3 decimals coincide. The cubic root of 52345216 is about 374.0752705794.

The spelling of 52345216 in words is "fifty-two million, three hundred forty-five thousand, two hundred sixteen".