72290327520 has 384 divisors, whose sum is σ = 248061864960. Its totient is φ = 17635000320.

The previous prime is 72290327509. The next prime is 72290327533. The reversal of 72290327520 is 2572309227.

It is a super-3 number, since 3×72290327520³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38512822 + ... + 38514698.

It is an arithmetic number, because the mean of its divisors is an integer number (645994440).

Almost surely, 2^72290327520 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 72290327520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124030932480).

72290327520 is an abundant number, since it is smaller than the sum of its proper divisors (175771537440).

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

72290327520 is a wasteful number, since it uses less digits than its factorization.

72290327520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 72290327520 in words is "seventy-two billion, two hundred ninety million, three hundred twenty-seven thousand, five hundred twenty".