1072505476224 has 768 divisors, whose sum is σ = 3960904147200. Its totient is φ = 270919434240.

The previous prime is 1072505476219. The next prime is 1072505476307. The reversal of 1072505476224 is 4226745052701.

1072505476224 is a `hidden beast` number, since 1 + 0 + 7 + 25 + 0 + 547 + 62 + 24 = 666.

1072505476224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1072505476224.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398255422 + ... + 398258114.

It is an arithmetic number, because the mean of its divisors is an integer number (5157427275).

Almost surely, 2^{1072505476224} is an apocalyptic number.

1072505476224 is a gapful number since it is divisible by the number (14) 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 1072505476224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980452073600).

1072505476224 is an abundant number, since it is smaller than the sum of its proper divisors (2888398670976).

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

1072505476224 is a wasteful number, since it uses less digits than its factorization.

1072505476224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1072505476224 in words is "one trillion, seventy-two billion, five hundred five million, four hundred seventy-six thousand, two hundred twenty-four".