73534825728 has 1296 divisors, whose sum is σ = 297865088640. Its totient is φ = 17459380224.

The previous prime is 73534825723. The next prime is 73534825729. The reversal of 73534825728 is 82752843537.

73534825728 is a `hidden beast` number, since 7 + 3 + 534 + 82 + 5 + 7 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73534825723) 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, 3197166325 + ... + 3197166347.

Almost surely, 2^73534825728 is an apocalyptic number.

73534825728 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 73534825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148932544320).

73534825728 is an abundant number, since it is smaller than the sum of its proper divisors (224330262912).

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

73534825728 is a wasteful number, since it uses less digits than its factorization.

73534825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 73534825728 in words is "seventy-three billion, five hundred thirty-four million, eight hundred twenty-five thousand, seven hundred twenty-eight".