52071600 has 120 divisors (see below), whose sum is σ = 190662400. Its totient is φ = 11900160.

The previous prime is 52071577. The next prime is 52071653. The reversal of 52071600 is 617025.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×52071600² = 5422903053120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5301 + ... + 11499.

Almost surely, 2^52071600 is an apocalyptic number.

52071600 is a gapful number since it is divisible by the number (50) 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 52071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331200).

52071600 is an abundant number, since it is smaller than the sum of its proper divisors (138590800).

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

52071600 is a wasteful number, since it uses less digits than its factorization.

52071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 52071600 is about 7216.0654099031. The cubic root of 52071600 is about 373.4223498052.

Adding to 52071600 its reverse (617025), we get a palindrome (52688625).

The spelling of 52071600 in words is "fifty-two million, seventy-one thousand, six hundred".