72290795520 has 288 divisors, whose sum is σ = 234645247872. Its totient is φ = 19002294272.

The previous prime is 72290795491. The next prime is 72290795527. The reversal of 72290795520 is 2559709227.

It is a super-3 number, since 3×72290795520³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72290795520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72290795527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163184419 + ... + 163184861.

It is an arithmetic number, because the mean of its divisors is an integer number (814740444).

Almost surely, 2^72290795520 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 72290795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117322623936).

72290795520 is an abundant number, since it is smaller than the sum of its proper divisors (162354452352).

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

72290795520 is an frugal number, since it uses more digits than its factorization.

72290795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 72290795520 in words is "seventy-two billion, two hundred ninety million, seven hundred ninety-five thousand, five hundred twenty".