1072324800000 has 720 divisors, whose sum is σ = 3908409064560. Its totient is φ = 282992640000.

The previous prime is 1072324799939. The next prime is 1072324800013. The reversal of 1072324800000 is 84232701.

1072324800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1072324800000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1627199671 + ... + 1627200329.

It is an arithmetic number, because the mean of its divisors is an integer number (5428345923).

Almost surely, 2^{1072324800000} is an apocalyptic number.

1072324800000 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 1072324800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954204532280).

1072324800000 is an abundant number, since it is smaller than the sum of its proper divisors (2836084264560).

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

1072324800000 is an frugal number, since it uses more digits than its factorization.

1072324800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 1072324800000 in words is "one trillion, seventy-two billion, three hundred twenty-four million, eight hundred thousand".