72912208320 has 1344 divisors, whose sum is σ = 319527936000. Its totient is φ = 15467397120.

The previous prime is 72912208277. The next prime is 72912208321. The reversal of 72912208320 is 2380221927.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72912208321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 489343606 + ... + 489343754.

It is an arithmetic number, because the mean of its divisors is an integer number (237744000).

Almost surely, 2^72912208320 is an apocalyptic number.

72912208320 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 72912208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968000).

72912208320 is an abundant number, since it is smaller than the sum of its proper divisors (246615727680).

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

72912208320 is a wasteful number, since it uses less digits than its factorization.

72912208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 72912208320 in words is "seventy-two billion, nine hundred twelve million, two hundred eight thousand, three hundred twenty".