5072000 has 64 divisors (see below), whose sum is σ = 12650040. Its totient is φ = 2022400.

The previous prime is 5071973. The next prime is 5072057. The reversal of 5072000 is 2705.

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 4631104 = 664^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15842 + ... + 16158.

Almost surely, 2^5072000 is an apocalyptic number.

5072000 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 5072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325020).

5072000 is an abundant number, since it is smaller than the sum of its proper divisors (7578040).

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

5072000 is an equidigital number, since it uses as much as digits as its factorization.

5072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 5072000 is about 2252.1101216415. The cubic root of 5072000 is about 171.8144745564.

Adding to 5072000 its reverse (2705), we get a palindrome (5074705).

The spelling of 5072000 in words is "five million, seventy-two thousand".