72644997921408 has 1152 divisors, whose sum is σ = 253061596569600. Its totient is φ = 19894806835200.

The previous prime is 72644997921407. The next prime is 72644997921469. The reversal of 72644997921408 is 80412979944627.

72644997921408 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 49 + 97 + 92 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (72644997921407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26254063641 + ... + 26254066407.

It is an arithmetic number, because the mean of its divisors is an integer number (219671524800).

Almost surely, 2^{72644997921408} 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 72644997921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126530798284800).

72644997921408 is an abundant number, since it is smaller than the sum of its proper divisors (180416598648192).

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

72644997921408 is a wasteful number, since it uses less digits than its factorization.

72644997921408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 72644997921408 in words is "seventy-two trillion, six hundred forty-four billion, nine hundred ninety-seven million, nine hundred twenty-one thousand, four hundred eight".