7218072000 has 672 divisors, whose sum is σ = 27692421120. Its totient is φ = 1860019200.

The previous prime is 7218071969. The next prime is 7218072011. The reversal of 7218072000 is 2708127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 91367961 + ... + 91368039.

It is an arithmetic number, because the mean of its divisors is an integer number (41208960).

Almost surely, 2^7218072000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7218072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846210560).

7218072000 is an abundant number, since it is smaller than the sum of its proper divisors (20474349120).

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

7218072000 is an equidigital number, since it uses as much as digits as its factorization.

7218072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7218072000 is about 84959.2372847120. The cubic root of 7218072000 is about 1932.5930049566.

The spelling of 7218072000 in words is "seven billion, two hundred eighteen million, seventy-two thousand".