72075255791616 has 1080 divisors, whose sum is σ = 274017507132096. Its totient is φ = 18720288276480.

The previous prime is 72075255791603. The next prime is 72075255791639. The reversal of 72075255791616 is 61619755257027.

72075255791616 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 5 + 2 + 5 + 5 + 7 + 9 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2145910375 + ... + 2145943961.

Almost surely, 2^{72075255791616} 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 72075255791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137008753566048).

72075255791616 is an abundant number, since it is smaller than the sum of its proper divisors (201942251340480).

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

72075255791616 is an equidigital number, since it uses as much as digits as its factorization.

72075255791616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33655 (or 33610 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 72075255791616 in words is "seventy-two trillion, seventy-five billion, two hundred fifty-five million, seven hundred ninety-one thousand, six hundred sixteen".