4572288000 has 924 divisors, whose sum is σ = 19894702932. Its totient is φ = 1045094400.

The previous prime is 4572287983. The next prime is 4572288011. The reversal of 4572288000 is 8822754.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4572288000 is a `hidden beast` number, since 4 + 572 + 2 + 8 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 4425974784 = 12096^2 + 66528^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 653183997 + ... + 653184003.

Almost surely, 2^4572288000 is an apocalyptic number.

4572288000 is a gapful number since it is divisible by the number (40) 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 4572288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947351466).

4572288000 is an abundant number, since it is smaller than the sum of its proper divisors (15322414932).

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

4572288000 is an frugal number, since it uses more digits than its factorization.

4572288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4572288000 is about 67618.6956395936. The cubic root of 4572288000 is about 1659.7570651410.

The spelling of 4572288000 in words is "four billion, five hundred seventy-two million, two hundred eighty-eight thousand".