1080072000 has 336 divisors, whose sum is σ = 4417600512. Its totient is φ = 246758400.

The previous prime is 1080071989. The next prime is 1080072031. The reversal of 1080072000 is 2700801.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 502929 + ... + 505071.

Almost surely, 2^1080072000 is an apocalyptic number.

1080072000 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 1080072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208800256).

1080072000 is an abundant number, since it is smaller than the sum of its proper divisors (3337528512).

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

1080072000 is a wasteful number, since it uses less digits than its factorization.

1080072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1080072000 is about 32864.4488771682. The cubic root of 1080072000 is about 1026.0083671787.

Adding to 1080072000 its reverse (2700801), we get a palindrome (1082772801).

It can be divided in two parts, 10800 and 72000, that multiplied together give a 5-th power (777600000 = 60⁵).

The spelling of 1080072000 in words is "one billion, eighty million, seventy-two thousand".