72099675648 has 1440 divisors, whose sum is σ = 297152856000. Its totient is φ = 16690544640.

The previous prime is 72099675643. The next prime is 72099675689. The reversal of 72099675648 is 84657699027.

72099675648 is a `hidden beast` number, since 7 + 2 + 0 + 9 + 9 + 67 + 564 + 8 = 666.

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 (72099675643) 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, 2486195698 + ... + 2486195726.

It is an arithmetic number, because the mean of its divisors is an integer number (206356150).

Almost surely, 2^72099675648 is an apocalyptic number.

72099675648 is a gapful number since it is divisible by the number (78) 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 72099675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148576428000).

72099675648 is an abundant number, since it is smaller than the sum of its proper divisors (225053180352).

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

72099675648 is a wasteful number, since it uses less digits than its factorization.

72099675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

It can be divided in two parts, 72099 and 675648, that added together give a palindrome (747747).

The spelling of 72099675648 in words is "seventy-two billion, ninety-nine million, six hundred seventy-five thousand, six hundred forty-eight".