73549427328 has 192 divisors, whose sum is σ = 235057204800. Its totient is φ = 22630413312.

The previous prime is 73549427327. The next prime is 73549427333. The reversal of 73549427328 is 82372494537.

It is a happy number.

73549427328 is a `hidden beast` number, since 7 + 3 + 549 + 4 + 2 + 73 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (73549427327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521101 + ... + 647027.

It is an arithmetic number, because the mean of its divisors is an integer number (1224256275).

Almost surely, 2^73549427328 is an apocalyptic number.

73549427328 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 73549427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117528602400).

73549427328 is an abundant number, since it is smaller than the sum of its proper divisors (161507777472).

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

73549427328 is a wasteful number, since it uses less digits than its factorization.

73549427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125976 (or 125945 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 73549427328 in words is "seventy-three billion, five hundred forty-nine million, four hundred twenty-seven thousand, three hundred twenty-eight".