5072100 has 144 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1164800.

The previous prime is 5072063. The next prime is 5072117. The reversal of 5072100 is 12705.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5072100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95674 + ... + 95726.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^5072100 is an apocalyptic number.

5072100 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 5072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5072100 is an abundant number, since it is smaller than the sum of its proper divisors (11801820).

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

5072100 is a wasteful number, since it uses less digits than its factorization.

5072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 5072100 is about 2252.1323229331. The cubic root of 5072100 is about 171.8156037187.

Adding to 5072100 its reverse (12705), we get a palindrome (5084805).

The spelling of 5072100 in words is "five million, seventy-two thousand, one hundred".