72997666560 has 864 divisors, whose sum is σ = 322486295040. Its totient is φ = 15395733504.

The previous prime is 72997666549. The next prime is 72997666561. The reversal of 72997666560 is 6566679927.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72997666561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28303351 + ... + 28305929.

Almost surely, 2^72997666560 is an apocalyptic number.

72997666560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72997666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161243147520).

72997666560 is an abundant number, since it is smaller than the sum of its proper divisors (249488628480).

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

72997666560 is a wasteful number, since it uses less digits than its factorization.

72997666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 72997666560 in words is "seventy-two billion, nine hundred ninety-seven million, six hundred sixty-six thousand, five hundred sixty".