52172800 has 72 divisors (see below), whose sum is σ = 129483900. Its totient is φ = 20848640.

The previous prime is 52172767. The next prime is 52172807. The reversal of 52172800 is 827125.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52172807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50691 + ... + 51709.

Almost surely, 2^52172800 is an apocalyptic number.

52172800 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 52172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64741950).

52172800 is an abundant number, since it is smaller than the sum of its proper divisors (77311100).

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

52172800 is a wasteful number, since it uses less digits than its factorization.

52172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 52172800 is about 7223.0741377893. The cubic root of 52172800 is about 373.6641059425.

Adding to 52172800 its reverse (827125), we get a palindrome (52999925).

The spelling of 52172800 in words is "fifty-two million, one hundred seventy-two thousand, eight hundred".