5072641600 has 168 divisors, whose sum is σ = 13877389568. Its totient is φ = 1812326400.

The previous prime is 5072641591. The next prime is 5072641601. The reversal of 5072641600 is 61462705.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5072641601) 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, 640867 + ... + 648733.

Almost surely, 2^5072641600 is an apocalyptic number.

5072641600 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 5072641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938694784).

5072641600 is an abundant number, since it is smaller than the sum of its proper divisors (8804747968).

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

5072641600 is a wasteful number, since it uses less digits than its factorization.

5072641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5072641600 is about 71222.4795973855. The cubic root of 5072641600 is about 1718.2171900424.

The spelling of 5072641600 in words is "five billion, seventy-two million, six hundred forty-one thousand, six hundred".