1072380087360 has 168 divisors, whose sum is σ = 3689219266200. Its totient is φ = 285915414528.

The previous prime is 1072380087343. The next prime is 1072380087409. The reversal of 1072380087360 is 637800832701.

1072380087360 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 can be written as a sum of positive squares in 4 ways, for example, as 118991882304 + 953388205056 = 344952^2 + 976416^2 .

It is a super-2 number, since 2×1072380087360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17113366 + ... + 17175914.

Almost surely, 2^{1072380087360} is an apocalyptic number.

1072380087360 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 1072380087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844609633100).

1072380087360 is an abundant number, since it is smaller than the sum of its proper divisors (2616839178840).

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

1072380087360 is a wasteful number, since it uses less digits than its factorization.

1072380087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68525 (or 68512 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1072380087360 in words is "one trillion, seventy-two billion, three hundred eighty million, eighty-seven thousand, three hundred sixty".