5072135400 has 144 divisors (see below), whose sum is σ = 17071080000. Its totient is φ = 1349619840.

The previous prime is 5072135333. The next prime is 5072135407. The reversal of 5072135400 is 45312705.

It is a happy number.

5072135400 is a `hidden beast` number, since 50 + 72 + 1 + 3 + 540 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5072135407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 895377 + ... + 901023.

Almost surely, 2^5072135400 is an apocalyptic number.

5072135400 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 5072135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535540000).

5072135400 is an abundant number, since it is smaller than the sum of its proper divisors (11998944600).

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

5072135400 is a wasteful number, since it uses less digits than its factorization.

5072135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5072135400 is about 71218.9258554213. The cubic root of 5072135400 is about 1718.1600343864.

The spelling of 5072135400 in words is "five billion, seventy-two million, one hundred thirty-five thousand, four hundred".