72270918720 has 2016 divisors, whose sum is σ = 350602027776. Its totient is φ = 13284311040.

The previous prime is 72270918691. The next prime is 72270918737. The reversal of 72270918720 is 2781907227.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 1363602214 + ... + 1363602266.

It is an arithmetic number, because the mean of its divisors is an integer number (173909736).

Almost surely, 2^72270918720 is an apocalyptic number.

72270918720 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 72270918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301013888).

72270918720 is an abundant number, since it is smaller than the sum of its proper divisors (278331109056).

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

72270918720 is a wasteful number, since it uses less digits than its factorization.

72270918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

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

The spelling of 72270918720 in words is "seventy-two billion, two hundred seventy million, nine hundred eighteen thousand, seven hundred twenty".