72270918720000 has 7200 divisors, whose sum is σ = 367608986769024. Its totient is φ = 13284311040000.

The previous prime is 72270918719999. The next prime is 72270918720001. The reversal of 72270918720000 is 2781907227.

It is an interprime number because it is at equal distance from previous prime (72270918719999) and next prime (72270918720001).

It is a tau number, because it is divible by the number of its divisors (7200).

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

It is not an unprimeable number, because it can be changed into a prime (72270918720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1363602239974 + ... + 1363602240026.

Almost surely, 2^{72270918720000} is an apocalyptic number.

72270918720000 is a gapful number since it is divisible by the number (70) 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 72270918720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183804493384512).

72270918720000 is an abundant number, since it is smaller than the sum of its proper divisors (295338068049024).

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

72270918720000 is a wasteful number, since it uses less digits than its factorization.

72270918720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 72270918720000 in words is "seventy-two trillion, two hundred seventy billion, nine hundred eighteen million, seven hundred twenty thousand".