72896509920 has 384 divisors, whose sum is σ = 256730923008. Its totient is φ = 17265254400.

The previous prime is 72896509919. The next prime is 72896509957. The reversal of 72896509920 is 2990569827.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36946054 + ... + 36948026.

It is an arithmetic number, because the mean of its divisors is an integer number (668570112).

Almost surely, 2^72896509920 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 72896509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128365461504).

72896509920 is an abundant number, since it is smaller than the sum of its proper divisors (183834413088).

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

72896509920 is a wasteful number, since it uses less digits than its factorization.

72896509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 72896509920 in words is "seventy-two billion, eight hundred ninety-six million, five hundred nine thousand, nine hundred twenty".