73528615296 has 256 divisors, whose sum is σ = 227704473600. Its totient is φ = 23328000000.

The previous prime is 73528615241. The next prime is 73528615319. The reversal of 73528615296 is 69251682537.

73528615296 is a `hidden beast` number, since 7 + 3 + 52 + 8 + 61 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6529671 + ... + 6540921.

It is an arithmetic number, because the mean of its divisors is an integer number (889470600).

Almost surely, 2^73528615296 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 73528615296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113852236800).

73528615296 is an abundant number, since it is smaller than the sum of its proper divisors (154175858304).

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

73528615296 is a wasteful number, since it uses less digits than its factorization.

73528615296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11366 (or 11348 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 73528615296 in words is "seventy-three billion, five hundred twenty-eight million, six hundred fifteen thousand, two hundred ninety-six".