72021550720 has 128 divisors (see below), whose sum is σ = 197862537600. Its totient is φ = 24556400640.

The previous prime is 72021550703. The next prime is 72021550759. The reversal of 72021550720 is 2705512027.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×72021550720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766471 + ... + 855289.

It is an arithmetic number, because the mean of its divisors is an integer number (1545801075).

Almost surely, 2^72021550720 is an apocalyptic number.

72021550720 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 72021550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98931268800).

72021550720 is an abundant number, since it is smaller than the sum of its proper divisors (125840986880).

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

72021550720 is a wasteful number, since it uses less digits than its factorization.

72021550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89026 (or 89014 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The spelling of 72021550720 in words is "seventy-two billion, twenty-one million, five hundred fifty thousand, seven hundred twenty".