5072059303200 has 432 divisors, whose sum is σ = 18992162236320. Its totient is φ = 1269308252160.

The previous prime is 5072059303163. The next prime is 5072059303211. The reversal of 5072059303200 is 23039502705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42413091 + ... + 42532509.

It is an arithmetic number, because the mean of its divisors is an integer number (43963338510).

Almost surely, 2^{5072059303200} is an apocalyptic number.

5072059303200 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 5072059303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9496081118160).

5072059303200 is an abundant number, since it is smaller than the sum of its proper divisors (13920102933120).

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

5072059303200 is a wasteful number, since it uses less digits than its factorization.

5072059303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119809 (or 119793 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 5072059303200 in words is "five trillion, seventy-two billion, fifty-nine million, three hundred three thousand, two hundred".