5072288400 has 135 divisors (see below), whose sum is σ = 17617091401. Its totient is φ = 1351470720.

The previous prime is 5072288387. The next prime is 5072288407. The reversal of 5072288400 is 48822705.

It is a happy number.

The square root of 5072288400 is 71220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1826023824 + 3246264576 = 42732^2 + 56976^2 .

It is a super-2 number, since 2×5072288400² = 51456219225549120000, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5072288407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4272607 + ... + 4273793.

Almost surely, 2^5072288400 is an apocalyptic number.

5072288400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5072288400 is the 71220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072288400

5072288400 is an abundant number, since it is smaller than the sum of its proper divisors (12544803001).

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

5072288400 is a wasteful number, since it uses less digits than its factorization.

5072288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 5072288400 is about 1718.1773102029.

Multiplying 5072288400 by its sum of digits (36), we get a square (182602382400 = 427320²).

5072288400 divided by its sum of digits (36) gives a square (140896900 = 11870²).

The spelling of 5072288400 in words is "five billion, seventy-two million, two hundred eighty-eight thousand, four hundred".