72761896320 has 256 divisors, whose sum is σ = 237607776000. Its totient is φ = 18932981760.

The previous prime is 72761896301. The next prime is 72761896321. The reversal of 72761896320 is 2369816727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761896321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15743610 + ... + 15748230.

It is an arithmetic number, because the mean of its divisors is an integer number (928155375).

Almost surely, 2^72761896320 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 72761896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118803888000).

72761896320 is an abundant number, since it is smaller than the sum of its proper divisors (164845879680).

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

72761896320 is a wasteful number, since it uses less digits than its factorization.

72761896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 72761896320 in words is "seventy-two billion, seven hundred sixty-one million, eight hundred ninety-six thousand, three hundred twenty".