5072819400 has 336 divisors, whose sum is σ = 19297046160. Its totient is φ = 1229385600.

The previous prime is 5072819393. The next prime is 5072819417. The reversal of 5072819400 is 49182705.

It is a super-3 number, since 3×5072819400³ (a number of 30 digits) contains 333 as substring.

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 83 ways as a sum of consecutive naturals, for example, 1602219 + ... + 1605381.

It is an arithmetic number, because the mean of its divisors is an integer number (57431685).

Almost surely, 2^5072819400 is an apocalyptic number.

5072819400 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 5072819400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648523080).

5072819400 is an abundant number, since it is smaller than the sum of its proper divisors (14224226760).

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

5072819400 is a wasteful number, since it uses less digits than its factorization.

5072819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5072819400 is about 71223.7277878658. The cubic root of 5072819400 is about 1718.2372647537.

The spelling of 5072819400 in words is "five billion, seventy-two million, eight hundred nineteen thousand, four hundred".