5072760 has 256 divisors, whose sum is σ = 21427200. Its totient is φ = 1036800.

The previous prime is 5072741. The next prime is 5072773. The reversal of 5072760 is 672705.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83130 + ... + 83190.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

Almost surely, 2^5072760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

5072760 is an abundant number, since it is smaller than the sum of its proper divisors (16354440).

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

5072760 is a wasteful number, since it uses less digits than its factorization.

5072760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5072760 is about 2252.2788459691. The cubic root of 5072760 is about 171.8230558181.

It can be divided in two parts, 5072 and 760, that added together give a cube (5832 = 18³).

The spelling of 5072760 in words is "five million, seventy-two thousand, seven hundred sixty".