5135712 has 48 divisors (see below), whose sum is σ = 13717872. Its totient is φ = 1681920.

The previous prime is 5135707. The next prime is 5135723. The reversal of 5135712 is 2175315.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5418 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (285789).

Almost surely, 2^5135712 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 5135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858936).

5135712 is an abundant number, since it is smaller than the sum of its proper divisors (8582160).

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

5135712 is a wasteful number, since it uses less digits than its factorization.

5135712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 5135712 is about 2266.2109345778. The cubic root of 5135712 is about 172.5308997366.

The spelling of 5135712 in words is "five million, one hundred thirty-five thousand, seven hundred twelve".