6572723040 has 288 divisors, whose sum is σ = 24238206720. Its totient is φ = 1612320768.

The previous prime is 6572723023. The next prime is 6572723057. The reversal of 6572723040 is 403272756.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6572723023) and next prime (6572723057).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6572722986 and 6572723004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8966514 + ... + 8967246.

It is an arithmetic number, because the mean of its divisors is an integer number (84160440).

Almost surely, 2^6572723040 is an apocalyptic number.

6572723040 is a gapful number since it is divisible by the number (60) 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 6572723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119103360).

6572723040 is an abundant number, since it is smaller than the sum of its proper divisors (17665483680).

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

6572723040 is a wasteful number, since it uses less digits than its factorization.

6572723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 6572723040 is about 81072.3321485203. The cubic root of 6572723040 is about 1873.1897707331.

Adding to 6572723040 its reverse (403272756), we get a palindrome (6975995796).

The spelling of 6572723040 in words is "six billion, five hundred seventy-two million, seven hundred twenty-three thousand, forty".