1225728000 has 672 divisors, whose sum is σ = 5315955840. Its totient is φ = 265420800.

The previous prime is 1225727989. The next prime is 1225728017. The reversal of 1225728000 is 8275221.

1225728000 is a `hidden beast` number, since 12 + 2 + 572 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 64511991 + ... + 64512009.

Almost surely, 2^1225728000 is an apocalyptic number.

1225728000 is a gapful number since it is divisible by the number (10) 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 1225728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657977920).

1225728000 is an abundant number, since it is smaller than the sum of its proper divisors (4090227840).

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

1225728000 is an equidigital number, since it uses as much as digits as its factorization.

1225728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1225728000 is about 35010.3984553161. The cubic root of 1225728000 is about 1070.1993980155.

The spelling of 1225728000 in words is "one billion, two hundred twenty-five million, seven hundred twenty-eight thousand".