72950785920 has 256 divisors, whose sum is σ = 258767308800. Its totient is φ = 19423438848.

The previous prime is 72950785861. The next prime is 72950785933. The reversal of 72950785920 is 2958705927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12559657 + ... + 12565463.

It is an arithmetic number, because the mean of its divisors is an integer number (1010809800).

Almost surely, 2^72950785920 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 72950785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129383654400).

72950785920 is an abundant number, since it is smaller than the sum of its proper divisors (185816522880).

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

72950785920 is a wasteful number, since it uses less digits than its factorization.

72950785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 72950785920 in words is "seventy-two billion, nine hundred fifty million, seven hundred eighty-five thousand, nine hundred twenty".