52072416 has 96 divisors (see below), whose sum is σ = 165715200. Its totient is φ = 15776640.

The previous prime is 52072409. The next prime is 52072417. The reversal of 52072416 is 61427025.

52072416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52072416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52072417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6765 + ... + 12243.

It is an arithmetic number, because the mean of its divisors is an integer number (1726200).

Almost surely, 2^52072416 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 52072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82857600).

52072416 is an abundant number, since it is smaller than the sum of its proper divisors (113642784).

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

52072416 is a wasteful number, since it uses less digits than its factorization.

52072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52072416 is about 7216.1219501890. The cubic root of 52072416 is about 373.4243003954.

The spelling of 52072416 in words is "fifty-two million, seventy-two thousand, four hundred sixteen".