5723152000 has 256 divisors, whose sum is σ = 15389131680. Its totient is φ = 2108620800.

The previous prime is 5723151923. The next prime is 5723152027. The reversal of 5723152000 is 2513275.

It can be written as a sum of positive squares in 16 ways, for example, as 105349696 + 5617802304 = 10264^2 + 74952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14415802 + ... + 14416198.

Almost surely, 2^5723152000 is an apocalyptic number.

5723152000 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 5723152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694565840).

5723152000 is an abundant number, since it is smaller than the sum of its proper divisors (9665979680).

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

5723152000 is a wasteful number, since it uses less digits than its factorization.

5723152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5723152000 is about 75651.5168387257. The cubic root of 5723152000 is about 1788.7312461907.

Adding to 5723152000 its reverse (2513275), we get a palindrome (5725665275).

The spelling of 5723152000 in words is "five billion, seven hundred twenty-three million, one hundred fifty-two thousand".