72396826548480 has 1728 divisors, whose sum is σ = 306846459698688. Its totient is φ = 15999141150720.

The previous prime is 72396826548479. The next prime is 72396826548491. The reversal of 72396826548480 is 8484562869327.

72396826548480 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 6 + 8 + 2 + 65 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72396826548399 and 72396826548408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10087334652 + ... + 10087341828.

It is an arithmetic number, because the mean of its divisors is an integer number (177573182696).

Almost surely, 2^{72396826548480} is an apocalyptic number.

72396826548480 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 72396826548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153423229849344).

72396826548480 is an abundant number, since it is smaller than the sum of its proper divisors (234449633150208).

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

72396826548480 is a wasteful number, since it uses less digits than its factorization.

72396826548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 72396826548480 in words is "seventy-two trillion, three hundred ninety-six billion, eight hundred twenty-six million, five hundred forty-eight thousand, four hundred eighty".