5072600 has 48 divisors (see below), whose sum is σ = 12707520. Its totient is φ = 1872000.

The previous prime is 5072539. The next prime is 5072603. The reversal of 5072600 is 62705.

It is a super-3 number, since 3×5072600³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1625 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (264740).

Almost surely, 2^5072600 is an apocalyptic number.

5072600 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 5072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353760).

5072600 is an abundant number, since it is smaller than the sum of its proper divisors (7634920).

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

5072600 is a wasteful number, since it uses less digits than its factorization.

5072600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5072600 is about 2252.2433261084. The cubic root of 5072600 is about 171.8212493079.

The spelling of 5072600 in words is "five million, seventy-two thousand, six hundred".