72928895616 has 384 divisors, whose sum is σ = 226755547200. Its totient is φ = 23303282688.

The previous prime is 72928895569. The next prime is 72928895653. The reversal of 72928895616 is 61659882927.

72928895616 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 8 + 8 + 9 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210169555 + ... + 210169901.

Almost surely, 2^72928895616 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 72928895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113377773600).

72928895616 is an abundant number, since it is smaller than the sum of its proper divisors (153826651584).

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

72928895616 is a wasteful number, since it uses less digits than its factorization.

72928895616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 72928895616 in words is "seventy-two billion, nine hundred twenty-eight million, eight hundred ninety-five thousand, six hundred sixteen".