5072544000 has 720 divisors, whose sum is σ = 20062922880. Its totient is φ = 1269043200.

The previous prime is 5072543969. The next prime is 5072544011. The reversal of 5072544000 is 4452705.

5072544000 is a `hidden beast` number, since 5 + 0 + 7 + 254 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49247949 + ... + 49248051.

Almost surely, 2^5072544000 is an apocalyptic number.

5072544000 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 5072544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031461440).

5072544000 is an abundant number, since it is smaller than the sum of its proper divisors (14990378880).

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

5072544000 is a wasteful number, since it uses less digits than its factorization.

5072544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5072544000 is about 71221.7944171586. The cubic root of 5072544000 is about 1718.2061702039.

Adding to 5072544000 its reverse (4452705), we get a palindrome (5076996705).

The spelling of 5072544000 in words is "five billion, seventy-two million, five hundred forty-four thousand".