5013792 has 96 divisors (see below), whose sum is σ = 16732800. Its totient is φ = 1430784.

The previous prime is 5013787. The next prime is 5013797. The reversal of 5013792 is 2973105.

It is an interprime number because it is at equal distance from previous prime (5013787) and next prime (5013797).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5013792² = 50276220438528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5013797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5634 + ... + 6462.

It is an arithmetic number, because the mean of its divisors is an integer number (174300).

Almost surely, 2^5013792 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 5013792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366400).

5013792 is an abundant number, since it is smaller than the sum of its proper divisors (11719008).

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

5013792 is a wasteful number, since it uses less digits than its factorization.

5013792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5013792 is about 2239.1498386665. The cubic root of 5013792 is about 171.1546769126.

Adding to 5013792 its reverse (2973105), we get a palindrome (7986897).

The spelling of 5013792 in words is "five million, thirteen thousand, seven hundred ninety-two".