72487615664640 has 1920 divisors, whose sum is σ = 282658588692480. Its totient is φ = 15760350904320.

The previous prime is 72487615664603. The next prime is 72487615664689. The reversal of 72487615664640 is 4646651678427.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 41827821214 + ... + 41827822946.

It is an arithmetic number, because the mean of its divisors is an integer number (147218014944).

Almost surely, 2^{72487615664640} 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 72487615664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329294346240).

72487615664640 is an abundant number, since it is smaller than the sum of its proper divisors (210170973027840).

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

72487615664640 is a wasteful number, since it uses less digits than its factorization.

72487615664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 66.

The spelling of 72487615664640 in words is "seventy-two trillion, four hundred eighty-seven billion, six hundred fifteen million, six hundred sixty-four thousand, six hundred forty".