5072581200 has 120 divisors (see below), whose sum is σ = 16277802400. Its totient is φ = 1350305280.

The previous prime is 5072581177. The next prime is 5072581201. The reversal of 5072581200 is 21852705.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072581201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739386 + ... + 746214.

Almost surely, 2^5072581200 is an apocalyptic number.

5072581200 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 5072581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138901200).

5072581200 is an abundant number, since it is smaller than the sum of its proper divisors (11205221200).

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

5072581200 is a wasteful number, since it uses less digits than its factorization.

5072581200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5072581200 is about 71222.0555726946. The cubic root of 5072581200 is about 1718.2103704049.

The spelling of 5072581200 in words is "five billion, seventy-two million, five hundred eighty-one thousand, two hundred".