72973716480 has 1408 divisors, whose sum is σ = 322279680000. Its totient is φ = 15801827328.

The previous prime is 72973716467. The next prime is 72973716481. The reversal of 72973716480 is 8461737927.

72973716480 is a `hidden beast` number, since 7 + 2 + 97 + 3 + 71 + 6 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72973716481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3840721911 + ... + 3840721929.

Almost surely, 2^72973716480 is an apocalyptic number.

72973716480 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 72973716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161139840000).

72973716480 is an abundant number, since it is smaller than the sum of its proper divisors (249305963520).

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

72973716480 is an frugal number, since it uses more digits than its factorization.

72973716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 72973716480 in words is "seventy-two billion, nine hundred seventy-three million, seven hundred sixteen thousand, four hundred eighty".