5801306272 has 48 divisors (see below), whose sum is σ = 11839564800. Its totient is φ = 2795224320.

The previous prime is 5801306267. The next prime is 5801306293. The reversal of 5801306272 is 2726031085.

It is a happy number.

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, 224854 + ... + 249322.

It is an arithmetic number, because the mean of its divisors is an integer number (246657600).

Almost surely, 2^5801306272 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 5801306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919782400).

5801306272 is an abundant number, since it is smaller than the sum of its proper divisors (6038258528).

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

5801306272 is a wasteful number, since it uses less digits than its factorization.

5801306272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24749 (or 24741 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 5801306272 is about 76166.3066716511. The cubic root of 5801306272 is about 1796.8366529967.

The spelling of 5801306272 in words is "five billion, eight hundred one million, three hundred six thousand, two hundred seventy-two".